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Finding the Fourth Proportional to 12,658.68, 18,972.60 and 8,961.96

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Solution

The fourth proportional to 12,658.68, 18,972.60 and 8,961.96 is: 13,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.68 : 18,972.60 = 8,961.96 : x
  2. Step 2: Convert to fraction form
    12,658.68/18,972.60 = 8,961.96/x
  3. Step 3: Cross multiply
    12,658.68x = 18,972.60 × 8,961.96
  4. Step 4: Simplify right side
    12,658.68x = 170,031,682.30
  5. Step 5: Solve for x
    x = 170,031,682.30/12,658.68
  6. Step 6: Final answer
    x = 13,432.02

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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.