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Finding the Fourth Proportional to 8,195.34, 12,291.80 and 3,000

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Solution

The fourth proportional to 8,195.34, 12,291.80 and 3,000 is: 4,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.34 : 12,291.80 = 3,000 : x
  2. Step 2: Convert to fraction form
    8,195.34/12,291.80 = 3,000/x
  3. Step 3: Cross multiply
    8,195.34x = 12,291.80 × 3,000
  4. Step 4: Simplify right side
    8,195.34x = 36,875,400
  5. Step 5: Solve for x
    x = 36,875,400/8,195.34
  6. Step 6: Final answer
    x = 4,499.56

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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.