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Finding the Fourth Proportional to 3,809.33, 5,714.00 and 1,342.81

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Solution

The fourth proportional to 3,809.33, 5,714.00 and 1,342.81 is: 2,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.33 : 5,714.00 = 1,342.81 : x
  2. Step 2: Convert to fraction form
    3,809.33/5,714.00 = 1,342.81/x
  3. Step 3: Cross multiply
    3,809.33x = 5,714.00 × 1,342.81
  4. Step 4: Simplify right side
    3,809.33x = 7,672,791.13
  5. Step 5: Solve for x
    x = 7,672,791.13/3,809.33
  6. Step 6: Final answer
    x = 2,014.21

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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.