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Finding the Fourth Proportional to 21,663.25, 32,489.88 and 6,869.41

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Solution

The fourth proportional to 21,663.25, 32,489.88 and 6,869.41 is: 10,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,663.25 : 32,489.88 = 6,869.41 : x
  2. Step 2: Convert to fraction form
    21,663.25/32,489.88 = 6,869.41/x
  3. Step 3: Cross multiply
    21,663.25x = 32,489.88 × 6,869.41
  4. Step 4: Simplify right side
    21,663.25x = 223,186,306.57
  5. Step 5: Solve for x
    x = 223,186,306.57/21,663.25
  6. Step 6: Final answer
    x = 10,302.53

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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.