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Finding the Fourth Proportional to 8,609.34, 12,908.97 and 6,159.90

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Solution

The fourth proportional to 8,609.34, 12,908.97 and 6,159.90 is: 9,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.34 : 12,908.97 = 6,159.90 : x
  2. Step 2: Convert to fraction form
    8,609.34/12,908.97 = 6,159.90/x
  3. Step 3: Cross multiply
    8,609.34x = 12,908.97 × 6,159.90
  4. Step 4: Simplify right side
    8,609.34x = 79,517,964.30
  5. Step 5: Solve for x
    x = 79,517,964.30/8,609.34
  6. Step 6: Final answer
    x = 9,236.24

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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.