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Finding the Fourth Proportional to 1,805.52, 2,724.30 and 1,738

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Solution

The fourth proportional to 1,805.52, 2,724.30 and 1,738 is: 2,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.52 : 2,724.30 = 1,738 : x
  2. Step 2: Convert to fraction form
    1,805.52/2,724.30 = 1,738/x
  3. Step 3: Cross multiply
    1,805.52x = 2,724.30 × 1,738
  4. Step 4: Simplify right side
    1,805.52x = 4,734,833.40
  5. Step 5: Solve for x
    x = 4,734,833.40/1,805.52
  6. Step 6: Final answer
    x = 2,622.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.