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Finding the Fourth Proportional to 2,881, 3,976.50 and 1,639.72

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Solution

The fourth proportional to 2,881, 3,976.50 and 1,639.72 is: 2,263.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881 : 3,976.50 = 1,639.72 : x
  2. Step 2: Convert to fraction form
    2,881/3,976.50 = 1,639.72/x
  3. Step 3: Cross multiply
    2,881x = 3,976.50 × 1,639.72
  4. Step 4: Simplify right side
    2,881x = 6,520,346.58
  5. Step 5: Solve for x
    x = 6,520,346.58/2,881
  6. Step 6: Final answer
    x = 2,263.22

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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.