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Finding the Fourth Proportional to 7,872.78, 11,803.65 and 3,487.86

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Solution

The fourth proportional to 7,872.78, 11,803.65 and 3,487.86 is: 5,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.78 : 11,803.65 = 3,487.86 : x
  2. Step 2: Convert to fraction form
    7,872.78/11,803.65 = 3,487.86/x
  3. Step 3: Cross multiply
    7,872.78x = 11,803.65 × 3,487.86
  4. Step 4: Simplify right side
    7,872.78x = 41,169,478.69
  5. Step 5: Solve for x
    x = 41,169,478.69/7,872.78
  6. Step 6: Final answer
    x = 5,229.34

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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.