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Finding the Fourth Proportional to 2,139.44, 2,953.13 and 1,255.23

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Solution

The fourth proportional to 2,139.44, 2,953.13 and 1,255.23 is: 1,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.44 : 2,953.13 = 1,255.23 : x
  2. Step 2: Convert to fraction form
    2,139.44/2,953.13 = 1,255.23/x
  3. Step 3: Cross multiply
    2,139.44x = 2,953.13 × 1,255.23
  4. Step 4: Simplify right side
    2,139.44x = 3,706,851.09
  5. Step 5: Solve for x
    x = 3,706,851.09/2,139.44
  6. Step 6: Final answer
    x = 1,732.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.