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Finding the Fourth Proportional to 8,469.90, 12,687.84 and 4,766.58

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Solution

The fourth proportional to 8,469.90, 12,687.84 and 4,766.58 is: 7,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.90 : 12,687.84 = 4,766.58 : x
  2. Step 2: Convert to fraction form
    8,469.90/12,687.84 = 4,766.58/x
  3. Step 3: Cross multiply
    8,469.90x = 12,687.84 × 4,766.58
  4. Step 4: Simplify right side
    8,469.90x = 60,477,604.39
  5. Step 5: Solve for x
    x = 60,477,604.39/8,469.90
  6. Step 6: Final answer
    x = 7,140.30

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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.