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Finding the Fourth Proportional to 2,239.50, 3,359.79 and 852.78

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Solution

The fourth proportional to 2,239.50, 3,359.79 and 852.78 is: 1,279.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,239.50 : 3,359.79 = 852.78 : x
  2. Step 2: Convert to fraction form
    2,239.50/3,359.79 = 852.78/x
  3. Step 3: Cross multiply
    2,239.50x = 3,359.79 × 852.78
  4. Step 4: Simplify right side
    2,239.50x = 2,865,161.72
  5. Step 5: Solve for x
    x = 2,865,161.72/2,239.50
  6. Step 6: Final answer
    x = 1,279.38

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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.