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Finding the Fourth Proportional to 3,882, 5,821.02 and 1,284

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Solution

The fourth proportional to 3,882, 5,821.02 and 1,284 is: 1,925.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882 : 5,821.02 = 1,284 : x
  2. Step 2: Convert to fraction form
    3,882/5,821.02 = 1,284/x
  3. Step 3: Cross multiply
    3,882x = 5,821.02 × 1,284
  4. Step 4: Simplify right side
    3,882x = 7,474,189.68
  5. Step 5: Solve for x
    x = 7,474,189.68/3,882
  6. Step 6: Final answer
    x = 1,925.35

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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.