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Finding the Fourth Proportional to 8,431.92, 12,621.24 and 7,190.64

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Solution

The fourth proportional to 8,431.92, 12,621.24 and 7,190.64 is: 10,763.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.92 : 12,621.24 = 7,190.64 : x
  2. Step 2: Convert to fraction form
    8,431.92/12,621.24 = 7,190.64/x
  3. Step 3: Cross multiply
    8,431.92x = 12,621.24 × 7,190.64
  4. Step 4: Simplify right side
    8,431.92x = 90,754,793.19
  5. Step 5: Solve for x
    x = 90,754,793.19/8,431.92
  6. Step 6: Final answer
    x = 10,763.24

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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.