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Finding the Fourth Proportional to 5,767.90, 8,639.28 and 3,791.30

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Solution

The fourth proportional to 5,767.90, 8,639.28 and 3,791.30 is: 5,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.90 : 8,639.28 = 3,791.30 : x
  2. Step 2: Convert to fraction form
    5,767.90/8,639.28 = 3,791.30/x
  3. Step 3: Cross multiply
    5,767.90x = 8,639.28 × 3,791.30
  4. Step 4: Simplify right side
    5,767.90x = 32,754,059.07
  5. Step 5: Solve for x
    x = 32,754,059.07/5,767.90
  6. Step 6: Final answer
    x = 5,678.68

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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.