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Finding the Fourth Proportional to 2,884.85, 3,981.00 and 1,625.81

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Solution

The fourth proportional to 2,884.85, 3,981.00 and 1,625.81 is: 2,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,884.85 : 3,981.00 = 1,625.81 : x
  2. Step 2: Convert to fraction form
    2,884.85/3,981.00 = 1,625.81/x
  3. Step 3: Cross multiply
    2,884.85x = 3,981.00 × 1,625.81
  4. Step 4: Simplify right side
    2,884.85x = 6,472,326.66
  5. Step 5: Solve for x
    x = 6,472,326.66/2,884.85
  6. Step 6: Final answer
    x = 2,243.56

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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.