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Finding the Fourth Proportional to 2,351.87, 3,527.89 and 891.13

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Solution

The fourth proportional to 2,351.87, 3,527.89 and 891.13 is: 1,336.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.87 : 3,527.89 = 891.13 : x
  2. Step 2: Convert to fraction form
    2,351.87/3,527.89 = 891.13/x
  3. Step 3: Cross multiply
    2,351.87x = 3,527.89 × 891.13
  4. Step 4: Simplify right side
    2,351.87x = 3,143,808.62
  5. Step 5: Solve for x
    x = 3,143,808.62/2,351.87
  6. Step 6: Final answer
    x = 1,336.73

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Why These Related Problems?

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