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Finding the Fourth Proportional to 3,982.05, 5,498.19 and 2,804.76

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Solution

The fourth proportional to 3,982.05, 5,498.19 and 2,804.76 is: 3,872.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.05 : 5,498.19 = 2,804.76 : x
  2. Step 2: Convert to fraction form
    3,982.05/5,498.19 = 2,804.76/x
  3. Step 3: Cross multiply
    3,982.05x = 5,498.19 × 2,804.76
  4. Step 4: Simplify right side
    3,982.05x = 15,421,103.38
  5. Step 5: Solve for x
    x = 15,421,103.38/3,982.05
  6. Step 6: Final answer
    x = 3,872.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.