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Finding the Fourth Proportional to 1,871.75, 2,584.23 and 1,174.34

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Solution

The fourth proportional to 1,871.75, 2,584.23 and 1,174.34 is: 1,621.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.75 : 2,584.23 = 1,174.34 : x
  2. Step 2: Convert to fraction form
    1,871.75/2,584.23 = 1,174.34/x
  3. Step 3: Cross multiply
    1,871.75x = 2,584.23 × 1,174.34
  4. Step 4: Simplify right side
    1,871.75x = 3,034,764.66
  5. Step 5: Solve for x
    x = 3,034,764.66/1,871.75
  6. Step 6: Final answer
    x = 1,621.35

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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.