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Finding the Fourth Proportional to 6,397.95, 8,829.02 and 3,565.31

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Solution

The fourth proportional to 6,397.95, 8,829.02 and 3,565.31 is: 4,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.95 : 8,829.02 = 3,565.31 : x
  2. Step 2: Convert to fraction form
    6,397.95/8,829.02 = 3,565.31/x
  3. Step 3: Cross multiply
    6,397.95x = 8,829.02 × 3,565.31
  4. Step 4: Simplify right side
    6,397.95x = 31,478,149.15
  5. Step 5: Solve for x
    x = 31,478,149.15/6,397.95
  6. Step 6: Final answer
    x = 4,920.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.