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Finding the Fourth Proportional to 10,472.75, 15,711.96 and 3,547.25

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Solution

The fourth proportional to 10,472.75, 15,711.96 and 3,547.25 is: 5,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.75 : 15,711.96 = 3,547.25 : x
  2. Step 2: Convert to fraction form
    10,472.75/15,711.96 = 3,547.25/x
  3. Step 3: Cross multiply
    10,472.75x = 15,711.96 × 3,547.25
  4. Step 4: Simplify right side
    10,472.75x = 55,734,250.11
  5. Step 5: Solve for x
    x = 55,734,250.11/10,472.75
  6. Step 6: Final answer
    x = 5,321.84

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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.