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Finding the Fourth Proportional to 2,885, 3,981.34 and 1,643

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Solution

The fourth proportional to 2,885, 3,981.34 and 1,643 is: 2,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885 : 3,981.34 = 1,643 : x
  2. Step 2: Convert to fraction form
    2,885/3,981.34 = 1,643/x
  3. Step 3: Cross multiply
    2,885x = 3,981.34 × 1,643
  4. Step 4: Simplify right side
    2,885x = 6,541,341.62
  5. Step 5: Solve for x
    x = 6,541,341.62/2,885
  6. Step 6: Final answer
    x = 2,267.36

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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.