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Finding the Fourth Proportional to 20,805.28, 31,207 and 5,812.49

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Solution

The fourth proportional to 20,805.28, 31,207 and 5,812.49 is: 8,718.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,805.28 : 31,207 = 5,812.49 : x
  2. Step 2: Convert to fraction form
    20,805.28/31,207 = 5,812.49/x
  3. Step 3: Cross multiply
    20,805.28x = 31,207 × 5,812.49
  4. Step 4: Simplify right side
    20,805.28x = 181,390,375.43
  5. Step 5: Solve for x
    x = 181,390,375.43/20,805.28
  6. Step 6: Final answer
    x = 8,718.48

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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.