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Finding the Fourth Proportional to 2,702.60, 4,053.18 and 754.36

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Solution

The fourth proportional to 2,702.60, 4,053.18 and 754.36 is: 1,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.60 : 4,053.18 = 754.36 : x
  2. Step 2: Convert to fraction form
    2,702.60/4,053.18 = 754.36/x
  3. Step 3: Cross multiply
    2,702.60x = 4,053.18 × 754.36
  4. Step 4: Simplify right side
    2,702.60x = 3,057,556.86
  5. Step 5: Solve for x
    x = 3,057,556.86/2,702.60
  6. Step 6: Final answer
    x = 1,131.34

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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.