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Finding the Fourth Proportional to 3,805.46, 5,709.84 and 1,342.04

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Solution

The fourth proportional to 3,805.46, 5,709.84 and 1,342.04 is: 2,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.46 : 5,709.84 = 1,342.04 : x
  2. Step 2: Convert to fraction form
    3,805.46/5,709.84 = 1,342.04/x
  3. Step 3: Cross multiply
    3,805.46x = 5,709.84 × 1,342.04
  4. Step 4: Simplify right side
    3,805.46x = 7,662,833.67
  5. Step 5: Solve for x
    x = 7,662,833.67/3,805.46
  6. Step 6: Final answer
    x = 2,013.64

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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.