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Finding the Fourth Proportional to 11,572, 15,998.16 and 11,082.40

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Solution

The fourth proportional to 11,572, 15,998.16 and 11,082.40 is: 15,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 15,998.16 = 11,082.40 : x
  2. Step 2: Convert to fraction form
    11,572/15,998.16 = 11,082.40/x
  3. Step 3: Cross multiply
    11,572x = 15,998.16 × 11,082.40
  4. Step 4: Simplify right side
    11,572x = 177,298,008.38
  5. Step 5: Solve for x
    x = 177,298,008.38/11,572
  6. Step 6: Final answer
    x = 15,321.29

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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.