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Finding the Fourth Proportional to 10,511.74, 15,773.72 and 3,942.50

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Solution

The fourth proportional to 10,511.74, 15,773.72 and 3,942.50 is: 5,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.74 : 15,773.72 = 3,942.50 : x
  2. Step 2: Convert to fraction form
    10,511.74/15,773.72 = 3,942.50/x
  3. Step 3: Cross multiply
    10,511.74x = 15,773.72 × 3,942.50
  4. Step 4: Simplify right side
    10,511.74x = 62,187,891.10
  5. Step 5: Solve for x
    x = 62,187,891.10/10,511.74
  6. Step 6: Final answer
    x = 5,916.04

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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.