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Finding the Fourth Proportional to 12,000.38, 17,974.55 and 8,706.20

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Solution

The fourth proportional to 12,000.38, 17,974.55 and 8,706.20 is: 13,040.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.38 : 17,974.55 = 8,706.20 : x
  2. Step 2: Convert to fraction form
    12,000.38/17,974.55 = 8,706.20/x
  3. Step 3: Cross multiply
    12,000.38x = 17,974.55 × 8,706.20
  4. Step 4: Simplify right side
    12,000.38x = 156,489,893.81
  5. Step 5: Solve for x
    x = 156,489,893.81/12,000.38
  6. Step 6: Final answer
    x = 13,040.42

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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.