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Finding the Fourth Proportional to 3,872.68, 5,820.54 and 1,822.12

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Solution

The fourth proportional to 3,872.68, 5,820.54 and 1,822.12 is: 2,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.68 : 5,820.54 = 1,822.12 : x
  2. Step 2: Convert to fraction form
    3,872.68/5,820.54 = 1,822.12/x
  3. Step 3: Cross multiply
    3,872.68x = 5,820.54 × 1,822.12
  4. Step 4: Simplify right side
    3,872.68x = 10,605,722.34
  5. Step 5: Solve for x
    x = 10,605,722.34/3,872.68
  6. Step 6: Final answer
    x = 2,738.60

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1.5x scale

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.