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Finding the Fourth Proportional to 2,351.45, 3,527.63 and 891.63

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Solution

The fourth proportional to 2,351.45, 3,527.63 and 891.63 is: 1,337.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.45 : 3,527.63 = 891.63 : x
  2. Step 2: Convert to fraction form
    2,351.45/3,527.63 = 891.63/x
  3. Step 3: Cross multiply
    2,351.45x = 3,527.63 × 891.63
  4. Step 4: Simplify right side
    2,351.45x = 3,145,340.74
  5. Step 5: Solve for x
    x = 3,145,340.74/2,351.45
  6. Step 6: Final answer
    x = 1,337.62

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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.