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Finding the Fourth Proportional to 8,654.76, 12,987 and 3,461.04

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Solution

The fourth proportional to 8,654.76, 12,987 and 3,461.04 is: 5,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.76 : 12,987 = 3,461.04 : x
  2. Step 2: Convert to fraction form
    8,654.76/12,987 = 3,461.04/x
  3. Step 3: Cross multiply
    8,654.76x = 12,987 × 3,461.04
  4. Step 4: Simplify right side
    8,654.76x = 44,948,526.48
  5. Step 5: Solve for x
    x = 44,948,526.48/8,654.76
  6. Step 6: Final answer
    x = 5,193.50

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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.