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Finding the Fourth Proportional to 5,978, 8,249.52 and 3,325.36

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Solution

The fourth proportional to 5,978, 8,249.52 and 3,325.36 is: 4,588.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978 : 8,249.52 = 3,325.36 : x
  2. Step 2: Convert to fraction form
    5,978/8,249.52 = 3,325.36/x
  3. Step 3: Cross multiply
    5,978x = 8,249.52 × 3,325.36
  4. Step 4: Simplify right side
    5,978x = 27,432,623.83
  5. Step 5: Solve for x
    x = 27,432,623.83/5,978
  6. Step 6: Final answer
    x = 4,588.93

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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.