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Finding the Fourth Proportional to 3,857.33, 5,786 and 935.63

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Solution

The fourth proportional to 3,857.33, 5,786 and 935.63 is: 1,403.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.33 : 5,786 = 935.63 : x
  2. Step 2: Convert to fraction form
    3,857.33/5,786 = 935.63/x
  3. Step 3: Cross multiply
    3,857.33x = 5,786 × 935.63
  4. Step 4: Simplify right side
    3,857.33x = 5,413,555.18
  5. Step 5: Solve for x
    x = 5,413,555.18/3,857.33
  6. Step 6: Final answer
    x = 1,403.45

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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.