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Finding the Fourth Proportional to 5,613.86, 8,428.08 and 4,316.24

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Solution

The fourth proportional to 5,613.86, 8,428.08 and 4,316.24 is: 6,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.86 : 8,428.08 = 4,316.24 : x
  2. Step 2: Convert to fraction form
    5,613.86/8,428.08 = 4,316.24/x
  3. Step 3: Cross multiply
    5,613.86x = 8,428.08 × 4,316.24
  4. Step 4: Simplify right side
    5,613.86x = 36,377,616.02
  5. Step 5: Solve for x
    x = 36,377,616.02/5,613.86
  6. Step 6: Final answer
    x = 6,479.96

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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.