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Finding the Fourth Proportional to 2,751.54, 4,147.67 and 2,712.66

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Solution

The fourth proportional to 2,751.54, 4,147.67 and 2,712.66 is: 4,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.54 : 4,147.67 = 2,712.66 : x
  2. Step 2: Convert to fraction form
    2,751.54/4,147.67 = 2,712.66/x
  3. Step 3: Cross multiply
    2,751.54x = 4,147.67 × 2,712.66
  4. Step 4: Simplify right side
    2,751.54x = 11,251,204.94
  5. Step 5: Solve for x
    x = 11,251,204.94/2,751.54
  6. Step 6: Final answer
    x = 4,089.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.