Home / 5,238-7,227.36-3,112.56

Finding the Fourth Proportional to 5,238, 7,227.36 and 3,112.56

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Solution

The fourth proportional to 5,238, 7,227.36 and 3,112.56 is: 4,294.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,227.36 = 3,112.56 : x
  2. Step 2: Convert to fraction form
    5,238/7,227.36 = 3,112.56/x
  3. Step 3: Cross multiply
    5,238x = 7,227.36 × 3,112.56
  4. Step 4: Simplify right side
    5,238x = 22,495,591.64
  5. Step 5: Solve for x
    x = 22,495,591.64/5,238
  6. Step 6: Final answer
    x = 4,294.69

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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.