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Finding the Fourth Proportional to 8,257.92, 12,443.70 and 6,829.20

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Solution

The fourth proportional to 8,257.92, 12,443.70 and 6,829.20 is: 10,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,257.92 : 12,443.70 = 6,829.20 : x
  2. Step 2: Convert to fraction form
    8,257.92/12,443.70 = 6,829.20/x
  3. Step 3: Cross multiply
    8,257.92x = 12,443.70 × 6,829.20
  4. Step 4: Simplify right side
    8,257.92x = 84,980,516.04
  5. Step 5: Solve for x
    x = 84,980,516.04/8,257.92
  6. Step 6: Final answer
    x = 10,290.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.