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Finding the Fourth Proportional to 21,208.38, 31,800 and 8,061.62

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Solution

The fourth proportional to 21,208.38, 31,800 and 8,061.62 is: 12,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,208.38 : 31,800 = 8,061.62 : x
  2. Step 2: Convert to fraction form
    21,208.38/31,800 = 8,061.62/x
  3. Step 3: Cross multiply
    21,208.38x = 31,800 × 8,061.62
  4. Step 4: Simplify right side
    21,208.38x = 256,359,516
  5. Step 5: Solve for x
    x = 256,359,516/21,208.38
  6. Step 6: Final answer
    x = 12,087.65

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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.