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Finding the Fourth Proportional to 8,143.78, 12,207.11 and 5,184.49

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Solution

The fourth proportional to 8,143.78, 12,207.11 and 5,184.49 is: 7,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.78 : 12,207.11 = 5,184.49 : x
  2. Step 2: Convert to fraction form
    8,143.78/12,207.11 = 5,184.49/x
  3. Step 3: Cross multiply
    8,143.78x = 12,207.11 × 5,184.49
  4. Step 4: Simplify right side
    8,143.78x = 63,287,613.80
  5. Step 5: Solve for x
    x = 63,287,613.80/8,143.78
  6. Step 6: Final answer
    x = 7,771.28

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Double scale
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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.