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Finding the Fourth Proportional to 3,881, 5,356.74 and 2,389.88

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Solution

The fourth proportional to 3,881, 5,356.74 and 2,389.88 is: 3,298.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881 : 5,356.74 = 2,389.88 : x
  2. Step 2: Convert to fraction form
    3,881/5,356.74 = 2,389.88/x
  3. Step 3: Cross multiply
    3,881x = 5,356.74 × 2,389.88
  4. Step 4: Simplify right side
    3,881x = 12,801,965.79
  5. Step 5: Solve for x
    x = 12,801,965.79/3,881
  6. Step 6: Final answer
    x = 3,298.63

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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.