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Finding the Fourth Proportional to 8,974.08, 12,383.20 and 5,197.32

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Solution

The fourth proportional to 8,974.08, 12,383.20 and 5,197.32 is: 7,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.08 : 12,383.20 = 5,197.32 : x
  2. Step 2: Convert to fraction form
    8,974.08/12,383.20 = 5,197.32/x
  3. Step 3: Cross multiply
    8,974.08x = 12,383.20 × 5,197.32
  4. Step 4: Simplify right side
    8,974.08x = 64,359,453.02
  5. Step 5: Solve for x
    x = 64,359,453.02/8,974.08
  6. Step 6: Final answer
    x = 7,171.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.