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Finding the Fourth Proportional to 2,351.60, 3,527.70 and 891.17

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Solution

The fourth proportional to 2,351.60, 3,527.70 and 891.17 is: 1,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.60 : 3,527.70 = 891.17 : x
  2. Step 2: Convert to fraction form
    2,351.60/3,527.70 = 891.17/x
  3. Step 3: Cross multiply
    2,351.60x = 3,527.70 × 891.17
  4. Step 4: Simplify right side
    2,351.60x = 3,143,780.41
  5. Step 5: Solve for x
    x = 3,143,780.41/2,351.60
  6. Step 6: Final answer
    x = 1,336.87

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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.