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Finding the Fourth Proportional to 20,812, 31,223.04 and 8,500

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Solution

The fourth proportional to 20,812, 31,223.04 and 8,500 is: 12,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,812 : 31,223.04 = 8,500 : x
  2. Step 2: Convert to fraction form
    20,812/31,223.04 = 8,500/x
  3. Step 3: Cross multiply
    20,812x = 31,223.04 × 8,500
  4. Step 4: Simplify right side
    20,812x = 265,395,840
  5. Step 5: Solve for x
    x = 265,395,840/20,812
  6. Step 6: Final answer
    x = 12,752.06

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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.