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Finding the Fourth Proportional to 3,323.76, 4,982.12 and 1,242.39

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Solution

The fourth proportional to 3,323.76, 4,982.12 and 1,242.39 is: 1,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,323.76 : 4,982.12 = 1,242.39 : x
  2. Step 2: Convert to fraction form
    3,323.76/4,982.12 = 1,242.39/x
  3. Step 3: Cross multiply
    3,323.76x = 4,982.12 × 1,242.39
  4. Step 4: Simplify right side
    3,323.76x = 6,189,736.07
  5. Step 5: Solve for x
    x = 6,189,736.07/3,323.76
  6. Step 6: Final answer
    x = 1,862.27

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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.