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Finding the Fourth Proportional to 8,538.50, 12,801.02 and 3,272.50

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Solution

The fourth proportional to 8,538.50, 12,801.02 and 3,272.50 is: 4,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.50 : 12,801.02 = 3,272.50 : x
  2. Step 2: Convert to fraction form
    8,538.50/12,801.02 = 3,272.50/x
  3. Step 3: Cross multiply
    8,538.50x = 12,801.02 × 3,272.50
  4. Step 4: Simplify right side
    8,538.50x = 41,891,337.95
  5. Step 5: Solve for x
    x = 41,891,337.95/8,538.50
  6. Step 6: Final answer
    x = 4,906.17

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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.