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Finding the Fourth Proportional to 8,122.60, 10,974.15 and 8,122.60

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Solution

The fourth proportional to 8,122.60, 10,974.15 and 8,122.60 is: 10,974.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.60 : 10,974.15 = 8,122.60 : x
  2. Step 2: Convert to fraction form
    8,122.60/10,974.15 = 8,122.60/x
  3. Step 3: Cross multiply
    8,122.60x = 10,974.15 × 8,122.60
  4. Step 4: Simplify right side
    8,122.60x = 89,138,630.79
  5. Step 5: Solve for x
    x = 89,138,630.79/8,122.60
  6. Step 6: Final answer
    x = 10,974.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.