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Finding the Fourth Proportional to 3,702.87, 5,111.10 and 2,132.01

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Solution

The fourth proportional to 3,702.87, 5,111.10 and 2,132.01 is: 2,942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.87 : 5,111.10 = 2,132.01 : x
  2. Step 2: Convert to fraction form
    3,702.87/5,111.10 = 2,132.01/x
  3. Step 3: Cross multiply
    3,702.87x = 5,111.10 × 2,132.01
  4. Step 4: Simplify right side
    3,702.87x = 10,896,916.31
  5. Step 5: Solve for x
    x = 10,896,916.31/3,702.87
  6. Step 6: Final answer
    x = 2,942.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.