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Finding the Fourth Proportional to 8,197.92, 12,296.88 and 5,272.20

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Solution

The fourth proportional to 8,197.92, 12,296.88 and 5,272.20 is: 7,908.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.92 : 12,296.88 = 5,272.20 : x
  2. Step 2: Convert to fraction form
    8,197.92/12,296.88 = 5,272.20/x
  3. Step 3: Cross multiply
    8,197.92x = 12,296.88 × 5,272.20
  4. Step 4: Simplify right side
    8,197.92x = 64,831,610.74
  5. Step 5: Solve for x
    x = 64,831,610.74/8,197.92
  6. Step 6: Final answer
    x = 7,908.30

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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.