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Finding the Fourth Proportional to 5,338.56, 7,370.85 and 3,454.71

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Solution

The fourth proportional to 5,338.56, 7,370.85 and 3,454.71 is: 4,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.56 : 7,370.85 = 3,454.71 : x
  2. Step 2: Convert to fraction form
    5,338.56/7,370.85 = 3,454.71/x
  3. Step 3: Cross multiply
    5,338.56x = 7,370.85 × 3,454.71
  4. Step 4: Simplify right side
    5,338.56x = 25,464,149.20
  5. Step 5: Solve for x
    x = 25,464,149.20/5,338.56
  6. Step 6: Final answer
    x = 4,769.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.