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Finding the Fourth Proportional to 6,397.94, 8,829.02 and 3,565.30

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Solution

The fourth proportional to 6,397.94, 8,829.02 and 3,565.30 is: 4,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.94 : 8,829.02 = 3,565.30 : x
  2. Step 2: Convert to fraction form
    6,397.94/8,829.02 = 3,565.30/x
  3. Step 3: Cross multiply
    6,397.94x = 8,829.02 × 3,565.30
  4. Step 4: Simplify right side
    6,397.94x = 31,478,105.01
  5. Step 5: Solve for x
    x = 31,478,105.01/6,397.94
  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.