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Finding the Fourth Proportional to 12,229.32, 18,353.16 and 5,660.10

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Solution

The fourth proportional to 12,229.32, 18,353.16 and 5,660.10 is: 8,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.32 : 18,353.16 = 5,660.10 : x
  2. Step 2: Convert to fraction form
    12,229.32/18,353.16 = 5,660.10/x
  3. Step 3: Cross multiply
    12,229.32x = 18,353.16 × 5,660.10
  4. Step 4: Simplify right side
    12,229.32x = 103,880,720.92
  5. Step 5: Solve for x
    x = 103,880,720.92/12,229.32
  6. Step 6: Final answer
    x = 8,494.40

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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.