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Finding the Fourth Proportional to 3,281.43, 4,894.44 and 2,788.95

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Solution

The fourth proportional to 3,281.43, 4,894.44 and 2,788.95 is: 4,159.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.43 : 4,894.44 = 2,788.95 : x
  2. Step 2: Convert to fraction form
    3,281.43/4,894.44 = 2,788.95/x
  3. Step 3: Cross multiply
    3,281.43x = 4,894.44 × 2,788.95
  4. Step 4: Simplify right side
    3,281.43x = 13,650,348.44
  5. Step 5: Solve for x
    x = 13,650,348.44/3,281.43
  6. Step 6: Final answer
    x = 4,159.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.