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Finding the Fourth Proportional to 8,852.86, 12,222 and 5,872.78

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Solution

The fourth proportional to 8,852.86, 12,222 and 5,872.78 is: 8,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,852.86 : 12,222 = 5,872.78 : x
  2. Step 2: Convert to fraction form
    8,852.86/12,222 = 5,872.78/x
  3. Step 3: Cross multiply
    8,852.86x = 12,222 × 5,872.78
  4. Step 4: Simplify right side
    8,852.86x = 71,777,117.16
  5. Step 5: Solve for x
    x = 71,777,117.16/8,852.86
  6. Step 6: Final answer
    x = 8,107.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.