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Finding the Fourth Proportional to 7,872.59, 11,801.81 and 7,187.78

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Solution

The fourth proportional to 7,872.59, 11,801.81 and 7,187.78 is: 10,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.59 : 11,801.81 = 7,187.78 : x
  2. Step 2: Convert to fraction form
    7,872.59/11,801.81 = 7,187.78/x
  3. Step 3: Cross multiply
    7,872.59x = 11,801.81 × 7,187.78
  4. Step 4: Simplify right side
    7,872.59x = 84,828,817.10
  5. Step 5: Solve for x
    x = 84,828,817.10/7,872.59
  6. Step 6: Final answer
    x = 10,775.22

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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.