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Finding the Fourth Proportional to 3,787.92, 5,681.88 and 1,190.34

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Solution

The fourth proportional to 3,787.92, 5,681.88 and 1,190.34 is: 1,785.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.92 : 5,681.88 = 1,190.34 : x
  2. Step 2: Convert to fraction form
    3,787.92/5,681.88 = 1,190.34/x
  3. Step 3: Cross multiply
    3,787.92x = 5,681.88 × 1,190.34
  4. Step 4: Simplify right side
    3,787.92x = 6,763,369.04
  5. Step 5: Solve for x
    x = 6,763,369.04/3,787.92
  6. Step 6: Final answer
    x = 1,785.51

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Similar ratio
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1.5x scale

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.