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Finding the Fourth Proportional to 3,982.03, 5,494.30 and 2,303.39

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Solution

The fourth proportional to 3,982.03, 5,494.30 and 2,303.39 is: 3,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.03 : 5,494.30 = 2,303.39 : x
  2. Step 2: Convert to fraction form
    3,982.03/5,494.30 = 2,303.39/x
  3. Step 3: Cross multiply
    3,982.03x = 5,494.30 × 2,303.39
  4. Step 4: Simplify right side
    3,982.03x = 12,655,523.65
  5. Step 5: Solve for x
    x = 12,655,523.65/3,982.03
  6. Step 6: Final answer
    x = 3,178.16

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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.