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Finding the Fourth Proportional to 5,697.42, 7,862.42 and 3,179.51

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Solution

The fourth proportional to 5,697.42, 7,862.42 and 3,179.51 is: 4,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.42 : 7,862.42 = 3,179.51 : x
  2. Step 2: Convert to fraction form
    5,697.42/7,862.42 = 3,179.51/x
  3. Step 3: Cross multiply
    5,697.42x = 7,862.42 × 3,179.51
  4. Step 4: Simplify right side
    5,697.42x = 24,998,611.65
  5. Step 5: Solve for x
    x = 24,998,611.65/5,697.42
  6. Step 6: Final answer
    x = 4,387.71

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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.