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Finding the Fourth Proportional to 10,680.16, 16,008 and 4,102.96

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Solution

The fourth proportional to 10,680.16, 16,008 and 4,102.96 is: 6,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.16 : 16,008 = 4,102.96 : x
  2. Step 2: Convert to fraction form
    10,680.16/16,008 = 4,102.96/x
  3. Step 3: Cross multiply
    10,680.16x = 16,008 × 4,102.96
  4. Step 4: Simplify right side
    10,680.16x = 65,680,183.68
  5. Step 5: Solve for x
    x = 65,680,183.68/10,680.16
  6. Step 6: Final answer
    x = 6,149.74

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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.