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Finding the Fourth Proportional to 10,591.78, 15,868.31 and 4,959.12

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Solution

The fourth proportional to 10,591.78, 15,868.31 and 4,959.12 is: 7,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.78 : 15,868.31 = 4,959.12 : x
  2. Step 2: Convert to fraction form
    10,591.78/15,868.31 = 4,959.12/x
  3. Step 3: Cross multiply
    10,591.78x = 15,868.31 × 4,959.12
  4. Step 4: Simplify right side
    10,591.78x = 78,692,754.31
  5. Step 5: Solve for x
    x = 78,692,754.31/10,591.78
  6. Step 6: Final answer
    x = 7,429.61

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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.