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Finding the Fourth Proportional to 11,548.76, 15,920.70 and 8,231

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Solution

The fourth proportional to 11,548.76, 15,920.70 and 8,231 is: 11,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,548.76 : 15,920.70 = 8,231 : x
  2. Step 2: Convert to fraction form
    11,548.76/15,920.70 = 8,231/x
  3. Step 3: Cross multiply
    11,548.76x = 15,920.70 × 8,231
  4. Step 4: Simplify right side
    11,548.76x = 131,043,281.70
  5. Step 5: Solve for x
    x = 131,043,281.70/11,548.76
  6. Step 6: Final answer
    x = 11,346.96

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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.