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Finding the Fourth Proportional to 8,221.50, 12,332.52 and 2,065.50

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Solution

The fourth proportional to 8,221.50, 12,332.52 and 2,065.50 is: 3,098.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.50 : 12,332.52 = 2,065.50 : x
  2. Step 2: Convert to fraction form
    8,221.50/12,332.52 = 2,065.50/x
  3. Step 3: Cross multiply
    8,221.50x = 12,332.52 × 2,065.50
  4. Step 4: Simplify right side
    8,221.50x = 25,472,820.06
  5. Step 5: Solve for x
    x = 25,472,820.06/8,221.50
  6. Step 6: Final answer
    x = 3,098.32

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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.