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Finding the Fourth Proportional to 5,439.73, 8,159.97 and 1,691

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Solution

The fourth proportional to 5,439.73, 8,159.97 and 1,691 is: 2,536.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,439.73 : 8,159.97 = 1,691 : x
  2. Step 2: Convert to fraction form
    5,439.73/8,159.97 = 1,691/x
  3. Step 3: Cross multiply
    5,439.73x = 8,159.97 × 1,691
  4. Step 4: Simplify right side
    5,439.73x = 13,798,509.27
  5. Step 5: Solve for x
    x = 13,798,509.27/5,439.73
  6. Step 6: Final answer
    x = 2,536.62

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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.