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Finding the Fourth Proportional to 3,814.80, 5,710.05 and 2,721.30

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Solution

The fourth proportional to 3,814.80, 5,710.05 and 2,721.30 is: 4,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.80 : 5,710.05 = 2,721.30 : x
  2. Step 2: Convert to fraction form
    3,814.80/5,710.05 = 2,721.30/x
  3. Step 3: Cross multiply
    3,814.80x = 5,710.05 × 2,721.30
  4. Step 4: Simplify right side
    3,814.80x = 15,538,759.07
  5. Step 5: Solve for x
    x = 15,538,759.07/3,814.80
  6. Step 6: Final answer
    x = 4,073.28

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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.