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Finding the Fourth Proportional to 12,422.70, 17,143.65 and 7,117.74

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Solution

The fourth proportional to 12,422.70, 17,143.65 and 7,117.74 is: 9,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.70 : 17,143.65 = 7,117.74 : x
  2. Step 2: Convert to fraction form
    12,422.70/17,143.65 = 7,117.74/x
  3. Step 3: Cross multiply
    12,422.70x = 17,143.65 × 7,117.74
  4. Step 4: Simplify right side
    12,422.70x = 122,024,043.35
  5. Step 5: Solve for x
    x = 122,024,043.35/12,422.70
  6. Step 6: Final answer
    x = 9,822.67

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Half scale
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Double scale
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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.