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Finding the Fourth Proportional to 3,821.74, 5,273.74 and 2,142.86

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Solution

The fourth proportional to 3,821.74, 5,273.74 and 2,142.86 is: 2,957.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.74 : 5,273.74 = 2,142.86 : x
  2. Step 2: Convert to fraction form
    3,821.74/5,273.74 = 2,142.86/x
  3. Step 3: Cross multiply
    3,821.74x = 5,273.74 × 2,142.86
  4. Step 4: Simplify right side
    3,821.74x = 11,300,886.50
  5. Step 5: Solve for x
    x = 11,300,886.50/3,821.74
  6. Step 6: Final answer
    x = 2,957.00

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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.