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Finding the Fourth Proportional to 3,787.68, 5,681.92 and 1,189.92

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Solution

The fourth proportional to 3,787.68, 5,681.92 and 1,189.92 is: 1,785.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.68 : 5,681.92 = 1,189.92 : x
  2. Step 2: Convert to fraction form
    3,787.68/5,681.92 = 1,189.92/x
  3. Step 3: Cross multiply
    3,787.68x = 5,681.92 × 1,189.92
  4. Step 4: Simplify right side
    3,787.68x = 6,761,030.25
  5. Step 5: Solve for x
    x = 6,761,030.25/3,787.68
  6. Step 6: Final answer
    x = 1,785.01

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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.