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Finding the Fourth Proportional to 3,615, 5,419.14 and 1,273.38

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Solution

The fourth proportional to 3,615, 5,419.14 and 1,273.38 is: 1,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615 : 5,419.14 = 1,273.38 : x
  2. Step 2: Convert to fraction form
    3,615/5,419.14 = 1,273.38/x
  3. Step 3: Cross multiply
    3,615x = 5,419.14 × 1,273.38
  4. Step 4: Simplify right side
    3,615x = 6,900,624.49
  5. Step 5: Solve for x
    x = 6,900,624.49/3,615
  6. Step 6: Final answer
    x = 1,908.89

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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.