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Finding the Fourth Proportional to 7,872.87, 11,810.86 and 2,250.59

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Solution

The fourth proportional to 7,872.87, 11,810.86 and 2,250.59 is: 3,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.87 : 11,810.86 = 2,250.59 : x
  2. Step 2: Convert to fraction form
    7,872.87/11,810.86 = 2,250.59/x
  3. Step 3: Cross multiply
    7,872.87x = 11,810.86 × 2,250.59
  4. Step 4: Simplify right side
    7,872.87x = 26,581,403.41
  5. Step 5: Solve for x
    x = 26,581,403.41/7,872.87
  6. Step 6: Final answer
    x = 3,376.33

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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.