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Finding the Fourth Proportional to 5,701.38, 7,866.07 and 3,711.21

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Solution

The fourth proportional to 5,701.38, 7,866.07 and 3,711.21 is: 5,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.38 : 7,866.07 = 3,711.21 : x
  2. Step 2: Convert to fraction form
    5,701.38/7,866.07 = 3,711.21/x
  3. Step 3: Cross multiply
    5,701.38x = 7,866.07 × 3,711.21
  4. Step 4: Simplify right side
    5,701.38x = 29,192,637.64
  5. Step 5: Solve for x
    x = 29,192,637.64/5,701.38
  6. Step 6: Final answer
    x = 5,120.28

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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.