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Finding the Fourth Proportional to 5,238, 7,857.47 and 1,342.44

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Solution

The fourth proportional to 5,238, 7,857.47 and 1,342.44 is: 2,013.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238 : 7,857.47 = 1,342.44 : x
  2. Step 2: Convert to fraction form
    5,238/7,857.47 = 1,342.44/x
  3. Step 3: Cross multiply
    5,238x = 7,857.47 × 1,342.44
  4. Step 4: Simplify right side
    5,238x = 10,548,185.38
  5. Step 5: Solve for x
    x = 10,548,185.38/5,238
  6. Step 6: Final answer
    x = 2,013.78

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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.