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Finding the Fourth Proportional to 6,330.86, 8,731.60 and 5,906.44

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Solution

The fourth proportional to 6,330.86, 8,731.60 and 5,906.44 is: 8,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.86 : 8,731.60 = 5,906.44 : x
  2. Step 2: Convert to fraction form
    6,330.86/8,731.60 = 5,906.44/x
  3. Step 3: Cross multiply
    6,330.86x = 8,731.60 × 5,906.44
  4. Step 4: Simplify right side
    6,330.86x = 51,572,618.54
  5. Step 5: Solve for x
    x = 51,572,618.54/6,330.86
  6. Step 6: Final answer
    x = 8,146.23

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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.