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Finding the Fourth Proportional to 5,697.87, 7,862.12 and 3,806.42

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Solution

The fourth proportional to 5,697.87, 7,862.12 and 3,806.42 is: 5,252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.87 : 7,862.12 = 3,806.42 : x
  2. Step 2: Convert to fraction form
    5,697.87/7,862.12 = 3,806.42/x
  3. Step 3: Cross multiply
    5,697.87x = 7,862.12 × 3,806.42
  4. Step 4: Simplify right side
    5,697.87x = 29,926,472.47
  5. Step 5: Solve for x
    x = 29,926,472.47/5,697.87
  6. Step 6: Final answer
    x = 5,252.22

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1.5x scale

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.