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Finding the Fourth Proportional to 3,805.81, 5,709.94 and 1,614.56

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Solution

The fourth proportional to 3,805.81, 5,709.94 and 1,614.56 is: 2,422.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.81 : 5,709.94 = 1,614.56 : x
  2. Step 2: Convert to fraction form
    3,805.81/5,709.94 = 1,614.56/x
  3. Step 3: Cross multiply
    3,805.81x = 5,709.94 × 1,614.56
  4. Step 4: Simplify right side
    3,805.81x = 9,219,008.14
  5. Step 5: Solve for x
    x = 9,219,008.14/3,805.81
  6. Step 6: Final answer
    x = 2,422.35

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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.