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Finding the Fourth Proportional to 21,800, 32,700.31 and 6,217.63

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Solution

The fourth proportional to 21,800, 32,700.31 and 6,217.63 is: 9,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,800 : 32,700.31 = 6,217.63 : x
  2. Step 2: Convert to fraction form
    21,800/32,700.31 = 6,217.63/x
  3. Step 3: Cross multiply
    21,800x = 32,700.31 × 6,217.63
  4. Step 4: Simplify right side
    21,800x = 203,318,428.47
  5. Step 5: Solve for x
    x = 203,318,428.47/21,800
  6. Step 6: Final answer
    x = 9,326.53

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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.