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Finding the Fourth Proportional to 8,778, 12,135.24 and 8,410.80

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Solution

The fourth proportional to 8,778, 12,135.24 and 8,410.80 is: 11,627.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,778 : 12,135.24 = 8,410.80 : x
  2. Step 2: Convert to fraction form
    8,778/12,135.24 = 8,410.80/x
  3. Step 3: Cross multiply
    8,778x = 12,135.24 × 8,410.80
  4. Step 4: Simplify right side
    8,778x = 102,067,076.59
  5. Step 5: Solve for x
    x = 102,067,076.59/8,778
  6. Step 6: Final answer
    x = 11,627.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.