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Finding the Fourth Proportional to 2,782.72, 3,838.75 and 1,734.04

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Solution

The fourth proportional to 2,782.72, 3,838.75 and 1,734.04 is: 2,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.72 : 3,838.75 = 1,734.04 : x
  2. Step 2: Convert to fraction form
    2,782.72/3,838.75 = 1,734.04/x
  3. Step 3: Cross multiply
    2,782.72x = 3,838.75 × 1,734.04
  4. Step 4: Simplify right side
    2,782.72x = 6,656,546.05
  5. Step 5: Solve for x
    x = 6,656,546.05/2,782.72
  6. Step 6: Final answer
    x = 2,392.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.