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Finding the Fourth Proportional to 8,449.38, 12,678.59 and 4,751.87

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Solution

The fourth proportional to 8,449.38, 12,678.59 and 4,751.87 is: 7,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.38 : 12,678.59 = 4,751.87 : x
  2. Step 2: Convert to fraction form
    8,449.38/12,678.59 = 4,751.87/x
  3. Step 3: Cross multiply
    8,449.38x = 12,678.59 × 4,751.87
  4. Step 4: Simplify right side
    8,449.38x = 60,246,959.95
  5. Step 5: Solve for x
    x = 60,246,959.95/8,449.38
  6. Step 6: Final answer
    x = 7,130.34

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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.