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Finding the Fourth Proportional to 20,458, 30,691.86 and 6,607

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Solution

The fourth proportional to 20,458, 30,691.86 and 6,607 is: 9,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,458 : 30,691.86 = 6,607 : x
  2. Step 2: Convert to fraction form
    20,458/30,691.86 = 6,607/x
  3. Step 3: Cross multiply
    20,458x = 30,691.86 × 6,607
  4. Step 4: Simplify right side
    20,458x = 202,781,119.02
  5. Step 5: Solve for x
    x = 202,781,119.02/20,458
  6. Step 6: Final answer
    x = 9,912.07

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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.