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Finding the Fourth Proportional to 10,269.71, 15,404.56 and 2,478.52

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Solution

The fourth proportional to 10,269.71, 15,404.56 and 2,478.52 is: 3,717.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,269.71 : 15,404.56 = 2,478.52 : x
  2. Step 2: Convert to fraction form
    10,269.71/15,404.56 = 2,478.52/x
  3. Step 3: Cross multiply
    10,269.71x = 15,404.56 × 2,478.52
  4. Step 4: Simplify right side
    10,269.71x = 38,180,510.05
  5. Step 5: Solve for x
    x = 38,180,510.05/10,269.71
  6. Step 6: Final answer
    x = 3,717.78

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