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Finding the Fourth Proportional to 5,435.60, 7,499.84 and 3,197.57

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Solution

The fourth proportional to 5,435.60, 7,499.84 and 3,197.57 is: 4,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,435.60 : 7,499.84 = 3,197.57 : x
  2. Step 2: Convert to fraction form
    5,435.60/7,499.84 = 3,197.57/x
  3. Step 3: Cross multiply
    5,435.60x = 7,499.84 × 3,197.57
  4. Step 4: Simplify right side
    5,435.60x = 23,981,209.90
  5. Step 5: Solve for x
    x = 23,981,209.90/5,435.60
  6. Step 6: Final answer
    x = 4,411.88

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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.