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Finding the Fourth Proportional to 20,822, 31,214.46 and 7,671.20

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Solution

The fourth proportional to 20,822, 31,214.46 and 7,671.20 is: 11,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822 : 31,214.46 = 7,671.20 : x
  2. Step 2: Convert to fraction form
    20,822/31,214.46 = 7,671.20/x
  3. Step 3: Cross multiply
    20,822x = 31,214.46 × 7,671.20
  4. Step 4: Simplify right side
    20,822x = 239,452,365.55
  5. Step 5: Solve for x
    x = 239,452,365.55/20,822
  6. Step 6: Final answer
    x = 11,499.97

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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.