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Finding the Fourth Proportional to 13,711.68, 20,543.90 and 9,259.56

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Solution

The fourth proportional to 13,711.68, 20,543.90 and 9,259.56 is: 13,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.68 : 20,543.90 = 9,259.56 : x
  2. Step 2: Convert to fraction form
    13,711.68/20,543.90 = 9,259.56/x
  3. Step 3: Cross multiply
    13,711.68x = 20,543.90 × 9,259.56
  4. Step 4: Simplify right side
    13,711.68x = 190,227,428.39
  5. Step 5: Solve for x
    x = 190,227,428.39/13,711.68
  6. Step 6: Final answer
    x = 13,873.39

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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.