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Finding the Fourth Proportional to 8,142.78, 12,193.02 and 6,980.22

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Solution

The fourth proportional to 8,142.78, 12,193.02 and 6,980.22 is: 10,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.78 : 12,193.02 = 6,980.22 : x
  2. Step 2: Convert to fraction form
    8,142.78/12,193.02 = 6,980.22/x
  3. Step 3: Cross multiply
    8,142.78x = 12,193.02 × 6,980.22
  4. Step 4: Simplify right side
    8,142.78x = 85,109,962.06
  5. Step 5: Solve for x
    x = 85,109,962.06/8,142.78
  6. Step 6: Final answer
    x = 10,452.20

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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.