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Finding the Fourth Proportional to 2,702.78, 3,729.84 and 1,460.78

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Solution

The fourth proportional to 2,702.78, 3,729.84 and 1,460.78 is: 2,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.78 : 3,729.84 = 1,460.78 : x
  2. Step 2: Convert to fraction form
    2,702.78/3,729.84 = 1,460.78/x
  3. Step 3: Cross multiply
    2,702.78x = 3,729.84 × 1,460.78
  4. Step 4: Simplify right side
    2,702.78x = 5,448,475.68
  5. Step 5: Solve for x
    x = 5,448,475.68/2,702.78
  6. Step 6: Final answer
    x = 2,015.88

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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.