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Finding the Fourth Proportional to 5,795, 7,997.02 and 3,142.38

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Solution

The fourth proportional to 5,795, 7,997.02 and 3,142.38 is: 4,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795 : 7,997.02 = 3,142.38 : x
  2. Step 2: Convert to fraction form
    5,795/7,997.02 = 3,142.38/x
  3. Step 3: Cross multiply
    5,795x = 7,997.02 × 3,142.38
  4. Step 4: Simplify right side
    5,795x = 25,129,675.71
  5. Step 5: Solve for x
    x = 25,129,675.71/5,795
  6. Step 6: Final answer
    x = 4,336.44

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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.