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Finding the Fourth Proportional to 2,838.70, 3,892.96 and 2,720.44

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Solution

The fourth proportional to 2,838.70, 3,892.96 and 2,720.44 is: 3,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,838.70 : 3,892.96 = 2,720.44 : x
  2. Step 2: Convert to fraction form
    2,838.70/3,892.96 = 2,720.44/x
  3. Step 3: Cross multiply
    2,838.70x = 3,892.96 × 2,720.44
  4. Step 4: Simplify right side
    2,838.70x = 10,590,564.10
  5. Step 5: Solve for x
    x = 10,590,564.10/2,838.70
  6. Step 6: Final answer
    x = 3,730.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.