Home / 2,002.19-3,003.24-905.79

Finding the Fourth Proportional to 2,002.19, 3,003.24 and 905.79

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Solution

The fourth proportional to 2,002.19, 3,003.24 and 905.79 is: 1,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.19 : 3,003.24 = 905.79 : x
  2. Step 2: Convert to fraction form
    2,002.19/3,003.24 = 905.79/x
  3. Step 3: Cross multiply
    2,002.19x = 3,003.24 × 905.79
  4. Step 4: Simplify right side
    2,002.19x = 2,720,304.76
  5. Step 5: Solve for x
    x = 2,720,304.76/2,002.19
  6. Step 6: Final answer
    x = 1,358.67

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1.5x scale

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.