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Finding the Fourth Proportional to 2,147.52, 2,964.14 and 1,263.61

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Solution

The fourth proportional to 2,147.52, 2,964.14 and 1,263.61 is: 1,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.52 : 2,964.14 = 1,263.61 : x
  2. Step 2: Convert to fraction form
    2,147.52/2,964.14 = 1,263.61/x
  3. Step 3: Cross multiply
    2,147.52x = 2,964.14 × 1,263.61
  4. Step 4: Simplify right side
    2,147.52x = 3,745,516.95
  5. Step 5: Solve for x
    x = 3,745,516.95/2,147.52
  6. Step 6: Final answer
    x = 1,744.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.