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Finding the Fourth Proportional to 1,812.78, 2,734.97 and 1,721.66

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Solution

The fourth proportional to 1,812.78, 2,734.97 and 1,721.66 is: 2,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.78 : 2,734.97 = 1,721.66 : x
  2. Step 2: Convert to fraction form
    1,812.78/2,734.97 = 1,721.66/x
  3. Step 3: Cross multiply
    1,812.78x = 2,734.97 × 1,721.66
  4. Step 4: Simplify right side
    1,812.78x = 4,708,666.17
  5. Step 5: Solve for x
    x = 4,708,666.17/1,812.78
  6. Step 6: Final answer
    x = 2,597.48

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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.