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Finding the Fourth Proportional to 6,414.39, 8,854.11 and 4,429.89

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Solution

The fourth proportional to 6,414.39, 8,854.11 and 4,429.89 is: 6,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.39 : 8,854.11 = 4,429.89 : x
  2. Step 2: Convert to fraction form
    6,414.39/8,854.11 = 4,429.89/x
  3. Step 3: Cross multiply
    6,414.39x = 8,854.11 × 4,429.89
  4. Step 4: Simplify right side
    6,414.39x = 39,222,733.35
  5. Step 5: Solve for x
    x = 39,222,733.35/6,414.39
  6. Step 6: Final answer
    x = 6,114.80

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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.