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Finding the Fourth Proportional to 6,514.32, 8,982.75 and 6,377.61

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Solution

The fourth proportional to 6,514.32, 8,982.75 and 6,377.61 is: 8,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.32 : 8,982.75 = 6,377.61 : x
  2. Step 2: Convert to fraction form
    6,514.32/8,982.75 = 6,377.61/x
  3. Step 3: Cross multiply
    6,514.32x = 8,982.75 × 6,377.61
  4. Step 4: Simplify right side
    6,514.32x = 57,288,476.23
  5. Step 5: Solve for x
    x = 57,288,476.23/6,514.32
  6. Step 6: Final answer
    x = 8,794.24

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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.