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Finding the Fourth Proportional to 3,801, 5,246.66 and 2,700.20

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Solution

The fourth proportional to 3,801, 5,246.66 and 2,700.20 is: 3,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801 : 5,246.66 = 2,700.20 : x
  2. Step 2: Convert to fraction form
    3,801/5,246.66 = 2,700.20/x
  3. Step 3: Cross multiply
    3,801x = 5,246.66 × 2,700.20
  4. Step 4: Simplify right side
    3,801x = 14,167,031.33
  5. Step 5: Solve for x
    x = 14,167,031.33/3,801
  6. Step 6: Final answer
    x = 3,727.19

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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.