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Finding the Fourth Proportional to 5,159.64, 7,737.09 and 1,648.87

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Solution

The fourth proportional to 5,159.64, 7,737.09 and 1,648.87 is: 2,472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.64 : 7,737.09 = 1,648.87 : x
  2. Step 2: Convert to fraction form
    5,159.64/7,737.09 = 1,648.87/x
  3. Step 3: Cross multiply
    5,159.64x = 7,737.09 × 1,648.87
  4. Step 4: Simplify right side
    5,159.64x = 12,757,465.26
  5. Step 5: Solve for x
    x = 12,757,465.26/5,159.64
  6. Step 6: Final answer
    x = 2,472.55

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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.