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Finding the Fourth Proportional to 1,953.78, 2,927.42 and 1,375.44

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Solution

The fourth proportional to 1,953.78, 2,927.42 and 1,375.44 is: 2,060.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.78 : 2,927.42 = 1,375.44 : x
  2. Step 2: Convert to fraction form
    1,953.78/2,927.42 = 1,375.44/x
  3. Step 3: Cross multiply
    1,953.78x = 2,927.42 × 1,375.44
  4. Step 4: Simplify right side
    1,953.78x = 4,026,490.56
  5. Step 5: Solve for x
    x = 4,026,490.56/1,953.78
  6. Step 6: Final answer
    x = 2,060.87

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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.