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Finding the Fourth Proportional to 8,732.74, 12,054 and 6,493.90

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Solution

The fourth proportional to 8,732.74, 12,054 and 6,493.90 is: 8,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732.74 : 12,054 = 6,493.90 : x
  2. Step 2: Convert to fraction form
    8,732.74/12,054 = 6,493.90/x
  3. Step 3: Cross multiply
    8,732.74x = 12,054 × 6,493.90
  4. Step 4: Simplify right side
    8,732.74x = 78,277,470.60
  5. Step 5: Solve for x
    x = 78,277,470.60/8,732.74
  6. Step 6: Final answer
    x = 8,963.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.