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Finding the Fourth Proportional to 7,872, 11,809.83 and 5,676.80

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Solution

The fourth proportional to 7,872, 11,809.83 and 5,676.80 is: 8,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872 : 11,809.83 = 5,676.80 : x
  2. Step 2: Convert to fraction form
    7,872/11,809.83 = 5,676.80/x
  3. Step 3: Cross multiply
    7,872x = 11,809.83 × 5,676.80
  4. Step 4: Simplify right side
    7,872x = 67,041,983.89
  5. Step 5: Solve for x
    x = 67,041,983.89/7,872
  6. Step 6: Final answer
    x = 8,516.51

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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.