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Finding the Fourth Proportional to 3,400.80, 5,102 and 1,060.72

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Solution

The fourth proportional to 3,400.80, 5,102 and 1,060.72 is: 1,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.80 : 5,102 = 1,060.72 : x
  2. Step 2: Convert to fraction form
    3,400.80/5,102 = 1,060.72/x
  3. Step 3: Cross multiply
    3,400.80x = 5,102 × 1,060.72
  4. Step 4: Simplify right side
    3,400.80x = 5,411,793.44
  5. Step 5: Solve for x
    x = 5,411,793.44/3,400.80
  6. Step 6: Final answer
    x = 1,591.33

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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.