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Finding the Fourth Proportional to 1,275.89, 1,912.21 and 1,102.55

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Solution

The fourth proportional to 1,275.89, 1,912.21 and 1,102.55 is: 1,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.89 : 1,912.21 = 1,102.55 : x
  2. Step 2: Convert to fraction form
    1,275.89/1,912.21 = 1,102.55/x
  3. Step 3: Cross multiply
    1,275.89x = 1,912.21 × 1,102.55
  4. Step 4: Simplify right side
    1,275.89x = 2,108,294.82
  5. Step 5: Solve for x
    x = 2,108,294.82/1,275.89
  6. Step 6: Final answer
    x = 1,652.42

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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.