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Finding the Fourth Proportional to 2,578, 3,874.20 and 2,412.04

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Solution

The fourth proportional to 2,578, 3,874.20 and 2,412.04 is: 3,624.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578 : 3,874.20 = 2,412.04 : x
  2. Step 2: Convert to fraction form
    2,578/3,874.20 = 2,412.04/x
  3. Step 3: Cross multiply
    2,578x = 3,874.20 × 2,412.04
  4. Step 4: Simplify right side
    2,578x = 9,344,725.37
  5. Step 5: Solve for x
    x = 9,344,725.37/2,578
  6. Step 6: Final answer
    x = 3,624.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.