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Finding the Fourth Proportional to 5,158.11, 7,737.72 and 1,646.90

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Solution

The fourth proportional to 5,158.11, 7,737.72 and 1,646.90 is: 2,470.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.11 : 7,737.72 = 1,646.90 : x
  2. Step 2: Convert to fraction form
    5,158.11/7,737.72 = 1,646.90/x
  3. Step 3: Cross multiply
    5,158.11x = 7,737.72 × 1,646.90
  4. Step 4: Simplify right side
    5,158.11x = 12,743,212.38
  5. Step 5: Solve for x
    x = 12,743,212.38/5,158.11
  6. Step 6: Final answer
    x = 2,470.52

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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.