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Finding the Fourth Proportional to 3,873.99, 5,815.08 and 2,414.15

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Solution

The fourth proportional to 3,873.99, 5,815.08 and 2,414.15 is: 3,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.99 : 5,815.08 = 2,414.15 : x
  2. Step 2: Convert to fraction form
    3,873.99/5,815.08 = 2,414.15/x
  3. Step 3: Cross multiply
    3,873.99x = 5,815.08 × 2,414.15
  4. Step 4: Simplify right side
    3,873.99x = 14,038,475.38
  5. Step 5: Solve for x
    x = 14,038,475.38/3,873.99
  6. Step 6: Final answer
    x = 3,623.78

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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.