Home / 2,208.09-3,311.26-974.63

Finding the Fourth Proportional to 2,208.09, 3,311.26 and 974.63

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Solution

The fourth proportional to 2,208.09, 3,311.26 and 974.63 is: 1,461.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.09 : 3,311.26 = 974.63 : x
  2. Step 2: Convert to fraction form
    2,208.09/3,311.26 = 974.63/x
  3. Step 3: Cross multiply
    2,208.09x = 3,311.26 × 974.63
  4. Step 4: Simplify right side
    2,208.09x = 3,227,234.34
  5. Step 5: Solve for x
    x = 3,227,234.34/2,208.09
  6. Step 6: Final answer
    x = 1,461.55

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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.