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Finding the Fourth Proportional to 3,722.76, 5,138.64 and 2,152.44

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Solution

The fourth proportional to 3,722.76, 5,138.64 and 2,152.44 is: 2,971.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.76 : 5,138.64 = 2,152.44 : x
  2. Step 2: Convert to fraction form
    3,722.76/5,138.64 = 2,152.44/x
  3. Step 3: Cross multiply
    3,722.76x = 5,138.64 × 2,152.44
  4. Step 4: Simplify right side
    3,722.76x = 11,060,614.28
  5. Step 5: Solve for x
    x = 11,060,614.28/3,722.76
  6. Step 6: Final answer
    x = 2,971.08

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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.