Home / 2,207.30-3,309.71-974.07

Finding the Fourth Proportional to 2,207.30, 3,309.71 and 974.07

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Solution

The fourth proportional to 2,207.30, 3,309.71 and 974.07 is: 1,460.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,207.30 : 3,309.71 = 974.07 : x
  2. Step 2: Convert to fraction form
    2,207.30/3,309.71 = 974.07/x
  3. Step 3: Cross multiply
    2,207.30x = 3,309.71 × 974.07
  4. Step 4: Simplify right side
    2,207.30x = 3,223,884.35
  5. Step 5: Solve for x
    x = 3,223,884.35/2,207.30
  6. Step 6: Final answer
    x = 1,460.56

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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.