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Finding the Fourth Proportional to 2,805.76, 3,871.86 and 1,671.52

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Solution

The fourth proportional to 2,805.76, 3,871.86 and 1,671.52 is: 2,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.76 : 3,871.86 = 1,671.52 : x
  2. Step 2: Convert to fraction form
    2,805.76/3,871.86 = 1,671.52/x
  3. Step 3: Cross multiply
    2,805.76x = 3,871.86 × 1,671.52
  4. Step 4: Simplify right side
    2,805.76x = 6,471,891.43
  5. Step 5: Solve for x
    x = 6,471,891.43/2,805.76
  6. Step 6: Final answer
    x = 2,306.64

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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.