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Finding the Fourth Proportional to 3,820.76, 5,721.42 and 3,237.56

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Solution

The fourth proportional to 3,820.76, 5,721.42 and 3,237.56 is: 4,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.76 : 5,721.42 = 3,237.56 : x
  2. Step 2: Convert to fraction form
    3,820.76/5,721.42 = 3,237.56/x
  3. Step 3: Cross multiply
    3,820.76x = 5,721.42 × 3,237.56
  4. Step 4: Simplify right side
    3,820.76x = 18,523,440.54
  5. Step 5: Solve for x
    x = 18,523,440.54/3,820.76
  6. Step 6: Final answer
    x = 4,848.10

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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.