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Finding the Fourth Proportional to 10,523.12, 15,772.52 and 3,945.11

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Solution

The fourth proportional to 10,523.12, 15,772.52 and 3,945.11 is: 5,913.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.12 : 15,772.52 = 3,945.11 : x
  2. Step 2: Convert to fraction form
    10,523.12/15,772.52 = 3,945.11/x
  3. Step 3: Cross multiply
    10,523.12x = 15,772.52 × 3,945.11
  4. Step 4: Simplify right side
    10,523.12x = 62,224,257.38
  5. Step 5: Solve for x
    x = 62,224,257.38/10,523.12
  6. Step 6: Final answer
    x = 5,913.10

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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.