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Finding the Fourth Proportional to 3,471.43, 5,207.19 and 1,162.93

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Solution

The fourth proportional to 3,471.43, 5,207.19 and 1,162.93 is: 1,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.43 : 5,207.19 = 1,162.93 : x
  2. Step 2: Convert to fraction form
    3,471.43/5,207.19 = 1,162.93/x
  3. Step 3: Cross multiply
    3,471.43x = 5,207.19 × 1,162.93
  4. Step 4: Simplify right side
    3,471.43x = 6,055,597.47
  5. Step 5: Solve for x
    x = 6,055,597.47/3,471.43
  6. Step 6: Final answer
    x = 1,744.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.