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Finding the Fourth Proportional to 1,825.07, 2,738.72 and 729.35

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Solution

The fourth proportional to 1,825.07, 2,738.72 and 729.35 is: 1,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.07 : 2,738.72 = 729.35 : x
  2. Step 2: Convert to fraction form
    1,825.07/2,738.72 = 729.35/x
  3. Step 3: Cross multiply
    1,825.07x = 2,738.72 × 729.35
  4. Step 4: Simplify right side
    1,825.07x = 1,997,468.09
  5. Step 5: Solve for x
    x = 1,997,468.09/1,825.07
  6. Step 6: Final answer
    x = 1,094.46

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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.