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Finding the Fourth Proportional to 8,825.80, 12,179.84 and 4,847

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Solution

The fourth proportional to 8,825.80, 12,179.84 and 4,847 is: 6,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,825.80 : 12,179.84 = 4,847 : x
  2. Step 2: Convert to fraction form
    8,825.80/12,179.84 = 4,847/x
  3. Step 3: Cross multiply
    8,825.80x = 12,179.84 × 4,847
  4. Step 4: Simplify right side
    8,825.80x = 59,035,684.48
  5. Step 5: Solve for x
    x = 59,035,684.48/8,825.80
  6. Step 6: Final answer
    x = 6,688.99

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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.