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Finding the Fourth Proportional to 3,439.66, 5,159.52 and 842.56

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Solution

The fourth proportional to 3,439.66, 5,159.52 and 842.56 is: 1,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.66 : 5,159.52 = 842.56 : x
  2. Step 2: Convert to fraction form
    3,439.66/5,159.52 = 842.56/x
  3. Step 3: Cross multiply
    3,439.66x = 5,159.52 × 842.56
  4. Step 4: Simplify right side
    3,439.66x = 4,347,205.17
  5. Step 5: Solve for x
    x = 4,347,205.17/3,439.66
  6. Step 6: Final answer
    x = 1,263.85

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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.