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Finding the Fourth Proportional to 3,804.47, 5,679.17 and 3,287.79

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Solution

The fourth proportional to 3,804.47, 5,679.17 and 3,287.79 is: 4,907.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.47 : 5,679.17 = 3,287.79 : x
  2. Step 2: Convert to fraction form
    3,804.47/5,679.17 = 3,287.79/x
  3. Step 3: Cross multiply
    3,804.47x = 5,679.17 × 3,287.79
  4. Step 4: Simplify right side
    3,804.47x = 18,671,918.33
  5. Step 5: Solve for x
    x = 18,671,918.33/3,804.47
  6. Step 6: Final answer
    x = 4,907.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.