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Finding the Fourth Proportional to 10,380.24, 15,573.24 and 5,989.68

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Solution

The fourth proportional to 10,380.24, 15,573.24 and 5,989.68 is: 8,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.24 : 15,573.24 = 5,989.68 : x
  2. Step 2: Convert to fraction form
    10,380.24/15,573.24 = 5,989.68/x
  3. Step 3: Cross multiply
    10,380.24x = 15,573.24 × 5,989.68
  4. Step 4: Simplify right side
    10,380.24x = 93,278,724.16
  5. Step 5: Solve for x
    x = 93,278,724.16/10,380.24
  6. Step 6: Final answer
    x = 8,986.18

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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.