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Finding the Fourth Proportional to 20,822, 31,233.03 and 8,510

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Solution

The fourth proportional to 20,822, 31,233.03 and 8,510 is: 12,765.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822 : 31,233.03 = 8,510 : x
  2. Step 2: Convert to fraction form
    20,822/31,233.03 = 8,510/x
  3. Step 3: Cross multiply
    20,822x = 31,233.03 × 8,510
  4. Step 4: Simplify right side
    20,822x = 265,793,085.30
  5. Step 5: Solve for x
    x = 265,793,085.30/20,822
  6. Step 6: Final answer
    x = 12,765.01

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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.