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Finding the Fourth Proportional to 3,805.64, 5,708.88 and 1,614.56

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Solution

The fourth proportional to 3,805.64, 5,708.88 and 1,614.56 is: 2,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.64 : 5,708.88 = 1,614.56 : x
  2. Step 2: Convert to fraction form
    3,805.64/5,708.88 = 1,614.56/x
  3. Step 3: Cross multiply
    3,805.64x = 5,708.88 × 1,614.56
  4. Step 4: Simplify right side
    3,805.64x = 9,217,329.29
  5. Step 5: Solve for x
    x = 9,217,329.29/3,805.64
  6. Step 6: Final answer
    x = 2,422.02

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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.