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Finding the Fourth Proportional to 3,848.93, 5,777.48 and 3,127.22

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Solution

The fourth proportional to 3,848.93, 5,777.48 and 3,127.22 is: 4,694.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.93 : 5,777.48 = 3,127.22 : x
  2. Step 2: Convert to fraction form
    3,848.93/5,777.48 = 3,127.22/x
  3. Step 3: Cross multiply
    3,848.93x = 5,777.48 × 3,127.22
  4. Step 4: Simplify right side
    3,848.93x = 18,067,451.01
  5. Step 5: Solve for x
    x = 18,067,451.01/3,848.93
  6. Step 6: Final answer
    x = 4,694.15

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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.