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Finding the Fourth Proportional to 3,809.15, 5,713.91 and 1,344

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Solution

The fourth proportional to 3,809.15, 5,713.91 and 1,344 is: 2,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.15 : 5,713.91 = 1,344 : x
  2. Step 2: Convert to fraction form
    3,809.15/5,713.91 = 1,344/x
  3. Step 3: Cross multiply
    3,809.15x = 5,713.91 × 1,344
  4. Step 4: Simplify right side
    3,809.15x = 7,679,495.04
  5. Step 5: Solve for x
    x = 7,679,495.04/3,809.15
  6. Step 6: Final answer
    x = 2,016.07

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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.