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Finding the Fourth Proportional to 12,377.88, 18,651.96 and 10,234.80

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Solution

The fourth proportional to 12,377.88, 18,651.96 and 10,234.80 is: 15,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377.88 : 18,651.96 = 10,234.80 : x
  2. Step 2: Convert to fraction form
    12,377.88/18,651.96 = 10,234.80/x
  3. Step 3: Cross multiply
    12,377.88x = 18,651.96 × 10,234.80
  4. Step 4: Simplify right side
    12,377.88x = 190,899,080.21
  5. Step 5: Solve for x
    x = 190,899,080.21/12,377.88
  6. Step 6: Final answer
    x = 15,422.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.