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Finding the Fourth Proportional to 8,658.73, 12,982.54 and 5,147.80

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Solution

The fourth proportional to 8,658.73, 12,982.54 and 5,147.80 is: 7,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,658.73 : 12,982.54 = 5,147.80 : x
  2. Step 2: Convert to fraction form
    8,658.73/12,982.54 = 5,147.80/x
  3. Step 3: Cross multiply
    8,658.73x = 12,982.54 × 5,147.80
  4. Step 4: Simplify right side
    8,658.73x = 66,831,519.41
  5. Step 5: Solve for x
    x = 66,831,519.41/8,658.73
  6. Step 6: Final answer
    x = 7,718.40

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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.