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Finding the Fourth Proportional to 2,809.11, 4,213.67 and 959.28

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Solution

The fourth proportional to 2,809.11, 4,213.67 and 959.28 is: 1,438.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.11 : 4,213.67 = 959.28 : x
  2. Step 2: Convert to fraction form
    2,809.11/4,213.67 = 959.28/x
  3. Step 3: Cross multiply
    2,809.11x = 4,213.67 × 959.28
  4. Step 4: Simplify right side
    2,809.11x = 4,042,084.56
  5. Step 5: Solve for x
    x = 4,042,084.56/2,809.11
  6. Step 6: Final answer
    x = 1,438.92

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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.