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Finding the Fourth Proportional to 12,877.60, 17,775.12 and 8,161.60

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Solution

The fourth proportional to 12,877.60, 17,775.12 and 8,161.60 is: 11,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.60 : 17,775.12 = 8,161.60 : x
  2. Step 2: Convert to fraction form
    12,877.60/17,775.12 = 8,161.60/x
  3. Step 3: Cross multiply
    12,877.60x = 17,775.12 × 8,161.60
  4. Step 4: Simplify right side
    12,877.60x = 145,073,419.39
  5. Step 5: Solve for x
    x = 145,073,419.39/12,877.60
  6. Step 6: Final answer
    x = 11,265.56

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1.5x scale

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.