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Finding the Fourth Proportional to 2,702.18, 4,053.51 and 754.39

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Solution

The fourth proportional to 2,702.18, 4,053.51 and 754.39 is: 1,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.18 : 4,053.51 = 754.39 : x
  2. Step 2: Convert to fraction form
    2,702.18/4,053.51 = 754.39/x
  3. Step 3: Cross multiply
    2,702.18x = 4,053.51 × 754.39
  4. Step 4: Simplify right side
    2,702.18x = 3,057,932.48
  5. Step 5: Solve for x
    x = 3,057,932.48/2,702.18
  6. Step 6: Final answer
    x = 1,131.65

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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.