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Finding the Fourth Proportional to 12,765.68, 17,618.28 and 7,177.76

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Solution

The fourth proportional to 12,765.68, 17,618.28 and 7,177.76 is: 9,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,765.68 : 17,618.28 = 7,177.76 : x
  2. Step 2: Convert to fraction form
    12,765.68/17,618.28 = 7,177.76/x
  3. Step 3: Cross multiply
    12,765.68x = 17,618.28 × 7,177.76
  4. Step 4: Simplify right side
    12,765.68x = 126,459,785.45
  5. Step 5: Solve for x
    x = 126,459,785.45/12,765.68
  6. Step 6: Final answer
    x = 9,906.23

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