Home / 5,238-7,228.56-3,141.84

Finding the Fourth Proportional to 5,238, 7,228.56 and 3,141.84

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Solution

The fourth proportional to 5,238, 7,228.56 and 3,141.84 is: 4,335.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,228.56 = 3,141.84 : x
  2. Step 2: Convert to fraction form
    5,238/7,228.56 = 3,141.84/x
  3. Step 3: Cross multiply
    5,238x = 7,228.56 × 3,141.84
  4. Step 4: Simplify right side
    5,238x = 22,710,978.95
  5. Step 5: Solve for x
    x = 22,710,978.95/5,238
  6. Step 6: Final answer
    x = 4,335.81

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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.