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Finding the Fourth Proportional to 3,795, 5,237.14 and 2,139

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Solution

The fourth proportional to 3,795, 5,237.14 and 2,139 is: 2,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795 : 5,237.14 = 2,139 : x
  2. Step 2: Convert to fraction form
    3,795/5,237.14 = 2,139/x
  3. Step 3: Cross multiply
    3,795x = 5,237.14 × 2,139
  4. Step 4: Simplify right side
    3,795x = 11,202,242.46
  5. Step 5: Solve for x
    x = 11,202,242.46/3,795
  6. Step 6: Final answer
    x = 2,951.84

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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.