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Finding the Fourth Proportional to 7,874.28, 11,807.78 and 2,943.81

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Solution

The fourth proportional to 7,874.28, 11,807.78 and 2,943.81 is: 4,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.28 : 11,807.78 = 2,943.81 : x
  2. Step 2: Convert to fraction form
    7,874.28/11,807.78 = 2,943.81/x
  3. Step 3: Cross multiply
    7,874.28x = 11,807.78 × 2,943.81
  4. Step 4: Simplify right side
    7,874.28x = 34,759,846.12
  5. Step 5: Solve for x
    x = 34,759,846.12/7,874.28
  6. Step 6: Final answer
    x = 4,414.35

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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.