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Finding the Fourth Proportional to 3,881.05, 5,821.51 and 959.35

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Solution

The fourth proportional to 3,881.05, 5,821.51 and 959.35 is: 1,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.05 : 5,821.51 = 959.35 : x
  2. Step 2: Convert to fraction form
    3,881.05/5,821.51 = 959.35/x
  3. Step 3: Cross multiply
    3,881.05x = 5,821.51 × 959.35
  4. Step 4: Simplify right side
    3,881.05x = 5,584,882.57
  5. Step 5: Solve for x
    x = 5,584,882.57/3,881.05
  6. Step 6: Final answer
    x = 1,439.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.