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Finding the Fourth Proportional to 2,190.26, 3,285.88 and 729.47

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Solution

The fourth proportional to 2,190.26, 3,285.88 and 729.47 is: 1,094.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.26 : 3,285.88 = 729.47 : x
  2. Step 2: Convert to fraction form
    2,190.26/3,285.88 = 729.47/x
  3. Step 3: Cross multiply
    2,190.26x = 3,285.88 × 729.47
  4. Step 4: Simplify right side
    2,190.26x = 2,396,932.63
  5. Step 5: Solve for x
    x = 2,396,932.63/2,190.26
  6. Step 6: Final answer
    x = 1,094.36

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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.