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Finding the Fourth Proportional to 6,434.22, 8,879.10 and 3,781.86

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Solution

The fourth proportional to 6,434.22, 8,879.10 and 3,781.86 is: 5,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.22 : 8,879.10 = 3,781.86 : x
  2. Step 2: Convert to fraction form
    6,434.22/8,879.10 = 3,781.86/x
  3. Step 3: Cross multiply
    6,434.22x = 8,879.10 × 3,781.86
  4. Step 4: Simplify right side
    6,434.22x = 33,579,513.13
  5. Step 5: Solve for x
    x = 33,579,513.13/6,434.22
  6. Step 6: Final answer
    x = 5,218.89

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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.