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Finding the Fourth Proportional to 8,101.40, 12,152.10 and 2,906.60

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Solution

The fourth proportional to 8,101.40, 12,152.10 and 2,906.60 is: 4,359.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.40 : 12,152.10 = 2,906.60 : x
  2. Step 2: Convert to fraction form
    8,101.40/12,152.10 = 2,906.60/x
  3. Step 3: Cross multiply
    8,101.40x = 12,152.10 × 2,906.60
  4. Step 4: Simplify right side
    8,101.40x = 35,321,293.86
  5. Step 5: Solve for x
    x = 35,321,293.86/8,101.40
  6. Step 6: Final answer
    x = 4,359.90

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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.