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Finding the Fourth Proportional to 3,821.76, 5,731.56 and 1,482

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Solution

The fourth proportional to 3,821.76, 5,731.56 and 1,482 is: 2,222.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.76 : 5,731.56 = 1,482 : x
  2. Step 2: Convert to fraction form
    3,821.76/5,731.56 = 1,482/x
  3. Step 3: Cross multiply
    3,821.76x = 5,731.56 × 1,482
  4. Step 4: Simplify right side
    3,821.76x = 8,494,171.92
  5. Step 5: Solve for x
    x = 8,494,171.92/3,821.76
  6. Step 6: Final answer
    x = 2,222.58

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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.