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Finding the Fourth Proportional to 1,959.63, 2,704.19 and 1,174.11

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Solution

The fourth proportional to 1,959.63, 2,704.19 and 1,174.11 is: 1,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.63 : 2,704.19 = 1,174.11 : x
  2. Step 2: Convert to fraction form
    1,959.63/2,704.19 = 1,174.11/x
  3. Step 3: Cross multiply
    1,959.63x = 2,704.19 × 1,174.11
  4. Step 4: Simplify right side
    1,959.63x = 3,175,016.52
  5. Step 5: Solve for x
    x = 3,175,016.52/1,959.63
  6. Step 6: Final answer
    x = 1,620.21

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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.