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Finding the Fourth Proportional to 8,290.32, 12,407.56 and 6,906.32

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Solution

The fourth proportional to 8,290.32, 12,407.56 and 6,906.32 is: 10,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.32 : 12,407.56 = 6,906.32 : x
  2. Step 2: Convert to fraction form
    8,290.32/12,407.56 = 6,906.32/x
  3. Step 3: Cross multiply
    8,290.32x = 12,407.56 × 6,906.32
  4. Step 4: Simplify right side
    8,290.32x = 85,690,579.78
  5. Step 5: Solve for x
    x = 85,690,579.78/8,290.32
  6. Step 6: Final answer
    x = 10,336.22

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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.