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Finding the Fourth Proportional to 14,000.40, 19,320.76 and 7,712.76

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Solution

The fourth proportional to 14,000.40, 19,320.76 and 7,712.76 is: 10,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,000.40 : 19,320.76 = 7,712.76 : x
  2. Step 2: Convert to fraction form
    14,000.40/19,320.76 = 7,712.76/x
  3. Step 3: Cross multiply
    14,000.40x = 19,320.76 × 7,712.76
  4. Step 4: Simplify right side
    14,000.40x = 149,016,384.90
  5. Step 5: Solve for x
    x = 149,016,384.90/14,000.40
  6. Step 6: Final answer
    x = 10,643.72

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.