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Finding the Fourth Proportional to 12,002.40, 17,960.40 and 8,114.40

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Solution

The fourth proportional to 12,002.40, 17,960.40 and 8,114.40 is: 12,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.40 : 17,960.40 = 8,114.40 : x
  2. Step 2: Convert to fraction form
    12,002.40/17,960.40 = 8,114.40/x
  3. Step 3: Cross multiply
    12,002.40x = 17,960.40 × 8,114.40
  4. Step 4: Simplify right side
    12,002.40x = 145,737,869.76
  5. Step 5: Solve for x
    x = 145,737,869.76/12,002.40
  6. Step 6: Final answer
    x = 12,142.39

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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.