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Finding the Fourth Proportional to 5,978.30, 8,249.67 and 3,325.64

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Solution

The fourth proportional to 5,978.30, 8,249.67 and 3,325.64 is: 4,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,978.30 : 8,249.67 = 3,325.64 : x
  2. Step 2: Convert to fraction form
    5,978.30/8,249.67 = 3,325.64/x
  3. Step 3: Cross multiply
    5,978.30x = 8,249.67 × 3,325.64
  4. Step 4: Simplify right side
    5,978.30x = 27,435,391.29
  5. Step 5: Solve for x
    x = 27,435,391.29/5,978.30
  6. Step 6: Final answer
    x = 4,589.17

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1.5x scale

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.