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Finding the Fourth Proportional to 2,523, 3,773.64 and 1,821.78

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Solution

The fourth proportional to 2,523, 3,773.64 and 1,821.78 is: 2,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523 : 3,773.64 = 1,821.78 : x
  2. Step 2: Convert to fraction form
    2,523/3,773.64 = 1,821.78/x
  3. Step 3: Cross multiply
    2,523x = 3,773.64 × 1,821.78
  4. Step 4: Simplify right side
    2,523x = 6,874,741.88
  5. Step 5: Solve for x
    x = 6,874,741.88/2,523
  6. Step 6: Final answer
    x = 2,724.83

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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.