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Finding the Fourth Proportional to 6,422.34, 8,865.78 and 4,067.66

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Solution

The fourth proportional to 6,422.34, 8,865.78 and 4,067.66 is: 5,615.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422.34 : 8,865.78 = 4,067.66 : x
  2. Step 2: Convert to fraction form
    6,422.34/8,865.78 = 4,067.66/x
  3. Step 3: Cross multiply
    6,422.34x = 8,865.78 × 4,067.66
  4. Step 4: Simplify right side
    6,422.34x = 36,062,978.67
  5. Step 5: Solve for x
    x = 36,062,978.67/6,422.34
  6. Step 6: Final answer
    x = 5,615.24

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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.