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Finding the Fourth Proportional to 3,788.60, 5,229.24 and 3,394.94

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Solution

The fourth proportional to 3,788.60, 5,229.24 and 3,394.94 is: 4,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,788.60 : 5,229.24 = 3,394.94 : x
  2. Step 2: Convert to fraction form
    3,788.60/5,229.24 = 3,394.94/x
  3. Step 3: Cross multiply
    3,788.60x = 5,229.24 × 3,394.94
  4. Step 4: Simplify right side
    3,788.60x = 17,752,956.05
  5. Step 5: Solve for x
    x = 17,752,956.05/3,788.60
  6. Step 6: Final answer
    x = 4,685.89

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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.