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Finding the Fourth Proportional to 1,375.76, 1,891.54 and 1,224.96

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Solution

The fourth proportional to 1,375.76, 1,891.54 and 1,224.96 is: 1,684.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.76 : 1,891.54 = 1,224.96 : x
  2. Step 2: Convert to fraction form
    1,375.76/1,891.54 = 1,224.96/x
  3. Step 3: Cross multiply
    1,375.76x = 1,891.54 × 1,224.96
  4. Step 4: Simplify right side
    1,375.76x = 2,317,060.84
  5. Step 5: Solve for x
    x = 2,317,060.84/1,375.76
  6. Step 6: Final answer
    x = 1,684.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.