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Finding the Fourth Proportional to 2,868.54, 3,959.91 and 1,873.86

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Solution

The fourth proportional to 2,868.54, 3,959.91 and 1,873.86 is: 2,586.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.54 : 3,959.91 = 1,873.86 : x
  2. Step 2: Convert to fraction form
    2,868.54/3,959.91 = 1,873.86/x
  3. Step 3: Cross multiply
    2,868.54x = 3,959.91 × 1,873.86
  4. Step 4: Simplify right side
    2,868.54x = 7,420,316.95
  5. Step 5: Solve for x
    x = 7,420,316.95/2,868.54
  6. Step 6: Final answer
    x = 2,586.79

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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.