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Finding the Fourth Proportional to 2,725.48, 4,087.77 and 751.15

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Solution

The fourth proportional to 2,725.48, 4,087.77 and 751.15 is: 1,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.48 : 4,087.77 = 751.15 : x
  2. Step 2: Convert to fraction form
    2,725.48/4,087.77 = 751.15/x
  3. Step 3: Cross multiply
    2,725.48x = 4,087.77 × 751.15
  4. Step 4: Simplify right side
    2,725.48x = 3,070,528.44
  5. Step 5: Solve for x
    x = 3,070,528.44/2,725.48
  6. Step 6: Final answer
    x = 1,126.60

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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.