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Finding the Fourth Proportional to 15,177.68, 22,770.98 and 7,787.30

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Solution

The fourth proportional to 15,177.68, 22,770.98 and 7,787.30 is: 11,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,177.68 : 22,770.98 = 7,787.30 : x
  2. Step 2: Convert to fraction form
    15,177.68/22,770.98 = 7,787.30/x
  3. Step 3: Cross multiply
    15,177.68x = 22,770.98 × 7,787.30
  4. Step 4: Simplify right side
    15,177.68x = 177,324,299.76
  5. Step 5: Solve for x
    x = 177,324,299.76/15,177.68
  6. Step 6: Final answer
    x = 11,683.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.