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Finding the Fourth Proportional to 3,978.37, 5,486.38 and 3,032.49

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Solution

The fourth proportional to 3,978.37, 5,486.38 and 3,032.49 is: 4,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.37 : 5,486.38 = 3,032.49 : x
  2. Step 2: Convert to fraction form
    3,978.37/5,486.38 = 3,032.49/x
  3. Step 3: Cross multiply
    3,978.37x = 5,486.38 × 3,032.49
  4. Step 4: Simplify right side
    3,978.37x = 16,637,391.68
  5. Step 5: Solve for x
    x = 16,637,391.68/3,978.37
  6. Step 6: Final answer
    x = 4,181.97

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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.