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Finding the Fourth Proportional to 12,458.76, 18,660.18 and 9,677

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Solution

The fourth proportional to 12,458.76, 18,660.18 and 9,677 is: 14,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,458.76 : 18,660.18 = 9,677 : x
  2. Step 2: Convert to fraction form
    12,458.76/18,660.18 = 9,677/x
  3. Step 3: Cross multiply
    12,458.76x = 18,660.18 × 9,677
  4. Step 4: Simplify right side
    12,458.76x = 180,574,561.86
  5. Step 5: Solve for x
    x = 180,574,561.86/12,458.76
  6. Step 6: Final answer
    x = 14,493.78

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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.