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Finding the Fourth Proportional to 2,757.72, 4,134.42 and 1,458.48

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Solution

The fourth proportional to 2,757.72, 4,134.42 and 1,458.48 is: 2,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.72 : 4,134.42 = 1,458.48 : x
  2. Step 2: Convert to fraction form
    2,757.72/4,134.42 = 1,458.48/x
  3. Step 3: Cross multiply
    2,757.72x = 4,134.42 × 1,458.48
  4. Step 4: Simplify right side
    2,757.72x = 6,029,968.88
  5. Step 5: Solve for x
    x = 6,029,968.88/2,757.72
  6. Step 6: Final answer
    x = 2,186.58

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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.