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Finding the Fourth Proportional to 3,762, 5,641.65 and 1,787.31

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Solution

The fourth proportional to 3,762, 5,641.65 and 1,787.31 is: 2,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762 : 5,641.65 = 1,787.31 : x
  2. Step 2: Convert to fraction form
    3,762/5,641.65 = 1,787.31/x
  3. Step 3: Cross multiply
    3,762x = 5,641.65 × 1,787.31
  4. Step 4: Simplify right side
    3,762x = 10,083,377.46
  5. Step 5: Solve for x
    x = 10,083,377.46/3,762
  6. Step 6: Final answer
    x = 2,680.32

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Why These Related Problems?

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