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Finding the Fourth Proportional to 2,238.24, 3,357.54 and 939

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Solution

The fourth proportional to 2,238.24, 3,357.54 and 939 is: 1,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.24 : 3,357.54 = 939 : x
  2. Step 2: Convert to fraction form
    2,238.24/3,357.54 = 939/x
  3. Step 3: Cross multiply
    2,238.24x = 3,357.54 × 939
  4. Step 4: Simplify right side
    2,238.24x = 3,152,730.06
  5. Step 5: Solve for x
    x = 3,152,730.06/2,238.24
  6. Step 6: Final answer
    x = 1,408.58

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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.