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Finding the Fourth Proportional to 6,443.30, 9,662.55 and 4,489.70

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Solution

The fourth proportional to 6,443.30, 9,662.55 and 4,489.70 is: 6,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.30 : 9,662.55 = 4,489.70 : x
  2. Step 2: Convert to fraction form
    6,443.30/9,662.55 = 4,489.70/x
  3. Step 3: Cross multiply
    6,443.30x = 9,662.55 × 4,489.70
  4. Step 4: Simplify right side
    6,443.30x = 43,381,950.74
  5. Step 5: Solve for x
    x = 43,381,950.74/6,443.30
  6. Step 6: Final answer
    x = 6,732.88

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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.