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Finding the Fourth Proportional to 5,737.68, 7,919.62 and 3,381.19

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Solution

The fourth proportional to 5,737.68, 7,919.62 and 3,381.19 is: 4,666.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.68 : 7,919.62 = 3,381.19 : x
  2. Step 2: Convert to fraction form
    5,737.68/7,919.62 = 3,381.19/x
  3. Step 3: Cross multiply
    5,737.68x = 7,919.62 × 3,381.19
  4. Step 4: Simplify right side
    5,737.68x = 26,777,711.70
  5. Step 5: Solve for x
    x = 26,777,711.70/5,737.68
  6. Step 6: Final answer
    x = 4,666.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.