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Finding the Fourth Proportional to 13,471.10, 20,140.12 and 11,414.10

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Solution

The fourth proportional to 13,471.10, 20,140.12 and 11,414.10 is: 17,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.10 : 20,140.12 = 11,414.10 : x
  2. Step 2: Convert to fraction form
    13,471.10/20,140.12 = 11,414.10/x
  3. Step 3: Cross multiply
    13,471.10x = 20,140.12 × 11,414.10
  4. Step 4: Simplify right side
    13,471.10x = 229,881,343.69
  5. Step 5: Solve for x
    x = 229,881,343.69/13,471.10
  6. Step 6: Final answer
    x = 17,064.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.