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Finding the Fourth Proportional to 8,538.62, 12,809.21 and 2,695.14

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Solution

The fourth proportional to 8,538.62, 12,809.21 and 2,695.14 is: 4,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,538.62 : 12,809.21 = 2,695.14 : x
  2. Step 2: Convert to fraction form
    8,538.62/12,809.21 = 2,695.14/x
  3. Step 3: Cross multiply
    8,538.62x = 12,809.21 × 2,695.14
  4. Step 4: Simplify right side
    8,538.62x = 34,522,600.76
  5. Step 5: Solve for x
    x = 34,522,600.76/8,538.62
  6. Step 6: Final answer
    x = 4,043.11

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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.