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Finding the Fourth Proportional to 5,156.26, 7,734.82 and 1,646.77

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Solution

The fourth proportional to 5,156.26, 7,734.82 and 1,646.77 is: 2,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.26 : 7,734.82 = 1,646.77 : x
  2. Step 2: Convert to fraction form
    5,156.26/7,734.82 = 1,646.77/x
  3. Step 3: Cross multiply
    5,156.26x = 7,734.82 × 1,646.77
  4. Step 4: Simplify right side
    5,156.26x = 12,737,469.53
  5. Step 5: Solve for x
    x = 12,737,469.53/5,156.26
  6. Step 6: Final answer
    x = 2,470.29

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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.