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Finding the Fourth Proportional to 5,694.24, 7,854.96 and 3,454.80

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Solution

The fourth proportional to 5,694.24, 7,854.96 and 3,454.80 is: 4,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.24 : 7,854.96 = 3,454.80 : x
  2. Step 2: Convert to fraction form
    5,694.24/7,854.96 = 3,454.80/x
  3. Step 3: Cross multiply
    5,694.24x = 7,854.96 × 3,454.80
  4. Step 4: Simplify right side
    5,694.24x = 27,137,315.81
  5. Step 5: Solve for x
    x = 27,137,315.81/5,694.24
  6. Step 6: Final answer
    x = 4,765.75

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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.