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Finding the Fourth Proportional to 2,868.75, 3,959.36 and 1,627.47

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Solution

The fourth proportional to 2,868.75, 3,959.36 and 1,627.47 is: 2,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.75 : 3,959.36 = 1,627.47 : x
  2. Step 2: Convert to fraction form
    2,868.75/3,959.36 = 1,627.47/x
  3. Step 3: Cross multiply
    2,868.75x = 3,959.36 × 1,627.47
  4. Step 4: Simplify right side
    2,868.75x = 6,443,731.48
  5. Step 5: Solve for x
    x = 6,443,731.48/2,868.75
  6. Step 6: Final answer
    x = 2,246.18

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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.