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Finding the Fourth Proportional to 3,865.36, 5,798 and 943.68

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Solution

The fourth proportional to 3,865.36, 5,798 and 943.68 is: 1,415.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.36 : 5,798 = 943.68 : x
  2. Step 2: Convert to fraction form
    3,865.36/5,798 = 943.68/x
  3. Step 3: Cross multiply
    3,865.36x = 5,798 × 943.68
  4. Step 4: Simplify right side
    3,865.36x = 5,471,456.64
  5. Step 5: Solve for x
    x = 5,471,456.64/3,865.36
  6. Step 6: Final answer
    x = 1,415.51

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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.