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Finding the Fourth Proportional to 21,747.69, 32,618.50 and 6,957.90

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Solution

The fourth proportional to 21,747.69, 32,618.50 and 6,957.90 is: 10,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,747.69 : 32,618.50 = 6,957.90 : x
  2. Step 2: Convert to fraction form
    21,747.69/32,618.50 = 6,957.90/x
  3. Step 3: Cross multiply
    21,747.69x = 32,618.50 × 6,957.90
  4. Step 4: Simplify right side
    21,747.69x = 226,956,243.76
  5. Step 5: Solve for x
    x = 226,956,243.76/21,747.69
  6. Step 6: Final answer
    x = 10,435.88

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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.