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Finding the Fourth Proportional to 6,443.96, 9,677.82 and 3,984.80

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Solution

The fourth proportional to 6,443.96, 9,677.82 and 3,984.80 is: 5,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.96 : 9,677.82 = 3,984.80 : x
  2. Step 2: Convert to fraction form
    6,443.96/9,677.82 = 3,984.80/x
  3. Step 3: Cross multiply
    6,443.96x = 9,677.82 × 3,984.80
  4. Step 4: Simplify right side
    6,443.96x = 38,564,177.14
  5. Step 5: Solve for x
    x = 38,564,177.14/6,443.96
  6. Step 6: Final answer
    x = 5,984.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.