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Finding the Fourth Proportional to 7,876.81, 11,815.20 and 2,033.41

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Solution

The fourth proportional to 7,876.81, 11,815.20 and 2,033.41 is: 3,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.81 : 11,815.20 = 2,033.41 : x
  2. Step 2: Convert to fraction form
    7,876.81/11,815.20 = 2,033.41/x
  3. Step 3: Cross multiply
    7,876.81x = 11,815.20 × 2,033.41
  4. Step 4: Simplify right side
    7,876.81x = 24,025,145.83
  5. Step 5: Solve for x
    x = 24,025,145.83/7,876.81
  6. Step 6: Final answer
    x = 3,050.11

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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.