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Finding the Fourth Proportional to 5,191.92, 7,787.88 and 1,729.44

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Solution

The fourth proportional to 5,191.92, 7,787.88 and 1,729.44 is: 2,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.92 : 7,787.88 = 1,729.44 : x
  2. Step 2: Convert to fraction form
    5,191.92/7,787.88 = 1,729.44/x
  3. Step 3: Cross multiply
    5,191.92x = 7,787.88 × 1,729.44
  4. Step 4: Simplify right side
    5,191.92x = 13,468,671.19
  5. Step 5: Solve for x
    x = 13,468,671.19/5,191.92
  6. Step 6: Final answer
    x = 2,594.16

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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.