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Finding the Fourth Proportional to 5,710.79, 7,882.20 and 3,717.87

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Solution

The fourth proportional to 5,710.79, 7,882.20 and 3,717.87 is: 5,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.79 : 7,882.20 = 3,717.87 : x
  2. Step 2: Convert to fraction form
    5,710.79/7,882.20 = 3,717.87/x
  3. Step 3: Cross multiply
    5,710.79x = 7,882.20 × 3,717.87
  4. Step 4: Simplify right side
    5,710.79x = 29,304,994.91
  5. Step 5: Solve for x
    x = 29,304,994.91/5,710.79
  6. Step 6: Final answer
    x = 5,131.52

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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.