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Finding the Fourth Proportional to 8,847.80, 12,209.94 and 5,311

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Solution

The fourth proportional to 8,847.80, 12,209.94 and 5,311 is: 7,329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.80 : 12,209.94 = 5,311 : x
  2. Step 2: Convert to fraction form
    8,847.80/12,209.94 = 5,311/x
  3. Step 3: Cross multiply
    8,847.80x = 12,209.94 × 5,311
  4. Step 4: Simplify right side
    8,847.80x = 64,846,991.34
  5. Step 5: Solve for x
    x = 64,846,991.34/8,847.80
  6. Step 6: Final answer
    x = 7,329.17

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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.