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Finding the Fourth Proportional to 2,788.80, 3,851.40 and 1,951.80

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Solution

The fourth proportional to 2,788.80, 3,851.40 and 1,951.80 is: 2,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,788.80 : 3,851.40 = 1,951.80 : x
  2. Step 2: Convert to fraction form
    2,788.80/3,851.40 = 1,951.80/x
  3. Step 3: Cross multiply
    2,788.80x = 3,851.40 × 1,951.80
  4. Step 4: Simplify right side
    2,788.80x = 7,517,162.52
  5. Step 5: Solve for x
    x = 7,517,162.52/2,788.80
  6. Step 6: Final answer
    x = 2,695.48

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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.