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Finding the Fourth Proportional to 8,316.92, 12,471.24 and 2,768.32

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Solution

The fourth proportional to 8,316.92, 12,471.24 and 2,768.32 is: 4,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,316.92 : 12,471.24 = 2,768.32 : x
  2. Step 2: Convert to fraction form
    8,316.92/12,471.24 = 2,768.32/x
  3. Step 3: Cross multiply
    8,316.92x = 12,471.24 × 2,768.32
  4. Step 4: Simplify right side
    8,316.92x = 34,524,383.12
  5. Step 5: Solve for x
    x = 34,524,383.12/8,316.92
  6. Step 6: Final answer
    x = 4,151.10

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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.