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Finding the Fourth Proportional to 12,002.90, 17,961.15 and 8,114.90

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Solution

The fourth proportional to 12,002.90, 17,961.15 and 8,114.90 is: 12,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.90 : 17,961.15 = 8,114.90 : x
  2. Step 2: Convert to fraction form
    12,002.90/17,961.15 = 8,114.90/x
  3. Step 3: Cross multiply
    12,002.90x = 17,961.15 × 8,114.90
  4. Step 4: Simplify right side
    12,002.90x = 145,752,936.14
  5. Step 5: Solve for x
    x = 145,752,936.14/12,002.90
  6. Step 6: Final answer
    x = 12,143.14

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1.5x scale

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.