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Finding the Fourth Proportional to 6,398.46, 8,830.01 and 3,747.78

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Solution

The fourth proportional to 6,398.46, 8,830.01 and 3,747.78 is: 5,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.46 : 8,830.01 = 3,747.78 : x
  2. Step 2: Convert to fraction form
    6,398.46/8,830.01 = 3,747.78/x
  3. Step 3: Cross multiply
    6,398.46x = 8,830.01 × 3,747.78
  4. Step 4: Simplify right side
    6,398.46x = 33,092,934.88
  5. Step 5: Solve for x
    x = 33,092,934.88/6,398.46
  6. Step 6: Final answer
    x = 5,172.02

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1.5x scale

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.