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Finding the Fourth Proportional to 3,881.24, 5,821.80 and 959.58

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Solution

The fourth proportional to 3,881.24, 5,821.80 and 959.58 is: 1,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.24 : 5,821.80 = 959.58 : x
  2. Step 2: Convert to fraction form
    3,881.24/5,821.80 = 959.58/x
  3. Step 3: Cross multiply
    3,881.24x = 5,821.80 × 959.58
  4. Step 4: Simplify right side
    3,881.24x = 5,586,482.84
  5. Step 5: Solve for x
    x = 5,586,482.84/3,881.24
  6. Step 6: Final answer
    x = 1,439.36

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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.