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Finding the Fourth Proportional to 4,178.95, 5,763.68 and 2,687

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Solution

The fourth proportional to 4,178.95, 5,763.68 and 2,687 is: 3,705.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.95 : 5,763.68 = 2,687 : x
  2. Step 2: Convert to fraction form
    4,178.95/5,763.68 = 2,687/x
  3. Step 3: Cross multiply
    4,178.95x = 5,763.68 × 2,687
  4. Step 4: Simplify right side
    4,178.95x = 15,486,994.73
  5. Step 5: Solve for x
    x = 15,486,994.73/4,178.95
  6. Step 6: Final answer
    x = 3,705.96

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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.