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Finding the Fourth Proportional to 9,008.31, 13,497.89 and 6,821.31

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Solution

The fourth proportional to 9,008.31, 13,497.89 and 6,821.31 is: 10,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,008.31 : 13,497.89 = 6,821.31 : x
  2. Step 2: Convert to fraction form
    9,008.31/13,497.89 = 6,821.31/x
  3. Step 3: Cross multiply
    9,008.31x = 13,497.89 × 6,821.31
  4. Step 4: Simplify right side
    9,008.31x = 92,073,257.93
  5. Step 5: Solve for x
    x = 92,073,257.93/9,008.31
  6. Step 6: Final answer
    x = 10,220.92

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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.