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Finding the Fourth Proportional to 3,213.84, 4,820.40 and 1,482

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Solution

The fourth proportional to 3,213.84, 4,820.40 and 1,482 is: 2,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.84 : 4,820.40 = 1,482 : x
  2. Step 2: Convert to fraction form
    3,213.84/4,820.40 = 1,482/x
  3. Step 3: Cross multiply
    3,213.84x = 4,820.40 × 1,482
  4. Step 4: Simplify right side
    3,213.84x = 7,143,832.80
  5. Step 5: Solve for x
    x = 7,143,832.80/3,213.84
  6. Step 6: Final answer
    x = 2,222.83

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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.