Home / 2,208.29-3,309.76-974.30

Finding the Fourth Proportional to 2,208.29, 3,309.76 and 974.30

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Solution

The fourth proportional to 2,208.29, 3,309.76 and 974.30 is: 1,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,208.29 : 3,309.76 = 974.30 : x
  2. Step 2: Convert to fraction form
    2,208.29/3,309.76 = 974.30/x
  3. Step 3: Cross multiply
    2,208.29x = 3,309.76 × 974.30
  4. Step 4: Simplify right side
    2,208.29x = 3,224,683.84
  5. Step 5: Solve for x
    x = 3,224,683.84/2,208.29
  6. Step 6: Final answer
    x = 1,460.27

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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.