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Finding the Fourth Proportional to 2,182.52, 3,012.14 and 1,251

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Solution

The fourth proportional to 2,182.52, 3,012.14 and 1,251 is: 1,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.52 : 3,012.14 = 1,251 : x
  2. Step 2: Convert to fraction form
    2,182.52/3,012.14 = 1,251/x
  3. Step 3: Cross multiply
    2,182.52x = 3,012.14 × 1,251
  4. Step 4: Simplify right side
    2,182.52x = 3,768,187.14
  5. Step 5: Solve for x
    x = 3,768,187.14/2,182.52
  6. Step 6: Final answer
    x = 1,726.53

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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.