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Finding the Fourth Proportional to 6,456.66, 9,686.88 and 3,338.43

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Solution

The fourth proportional to 6,456.66, 9,686.88 and 3,338.43 is: 5,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.66 : 9,686.88 = 3,338.43 : x
  2. Step 2: Convert to fraction form
    6,456.66/9,686.88 = 3,338.43/x
  3. Step 3: Cross multiply
    6,456.66x = 9,686.88 × 3,338.43
  4. Step 4: Simplify right side
    6,456.66x = 32,338,970.80
  5. Step 5: Solve for x
    x = 32,338,970.80/6,456.66
  6. Step 6: Final answer
    x = 5,008.62

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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.