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Finding the Fourth Proportional to 8,657.62, 12,984.58 and 2,734.98

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Solution

The fourth proportional to 8,657.62, 12,984.58 and 2,734.98 is: 4,101.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.62 : 12,984.58 = 2,734.98 : x
  2. Step 2: Convert to fraction form
    8,657.62/12,984.58 = 2,734.98/x
  3. Step 3: Cross multiply
    8,657.62x = 12,984.58 × 2,734.98
  4. Step 4: Simplify right side
    8,657.62x = 35,512,566.61
  5. Step 5: Solve for x
    x = 35,512,566.61/8,657.62
  6. Step 6: Final answer
    x = 4,101.89

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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.