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Finding the Fourth Proportional to 2,884.88, 3,981.15 and 1,625.96

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Solution

The fourth proportional to 2,884.88, 3,981.15 and 1,625.96 is: 2,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.88 : 3,981.15 = 1,625.96 : x
  2. Step 2: Convert to fraction form
    2,884.88/3,981.15 = 1,625.96/x
  3. Step 3: Cross multiply
    2,884.88x = 3,981.15 × 1,625.96
  4. Step 4: Simplify right side
    2,884.88x = 6,473,176.85
  5. Step 5: Solve for x
    x = 6,473,176.85/2,884.88
  6. Step 6: Final answer
    x = 2,243.83

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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.