Home / 2,208.96-3,311.28-976.68

Finding the Fourth Proportional to 2,208.96, 3,311.28 and 976.68

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Solution

The fourth proportional to 2,208.96, 3,311.28 and 976.68 is: 1,464.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.96 : 3,311.28 = 976.68 : x
  2. Step 2: Convert to fraction form
    2,208.96/3,311.28 = 976.68/x
  3. Step 3: Cross multiply
    2,208.96x = 3,311.28 × 976.68
  4. Step 4: Simplify right side
    2,208.96x = 3,234,060.95
  5. Step 5: Solve for x
    x = 3,234,060.95/2,208.96
  6. Step 6: Final answer
    x = 1,464.06

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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.