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Finding the Fourth Proportional to 8,847.46, 12,204.83 and 5,822.11

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Solution

The fourth proportional to 8,847.46, 12,204.83 and 5,822.11 is: 8,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,847.46 : 12,204.83 = 5,822.11 : x
  2. Step 2: Convert to fraction form
    8,847.46/12,204.83 = 5,822.11/x
  3. Step 3: Cross multiply
    8,847.46x = 12,204.83 × 5,822.11
  4. Step 4: Simplify right side
    8,847.46x = 71,057,772.66
  5. Step 5: Solve for x
    x = 71,057,772.66/8,847.46
  6. Step 6: Final answer
    x = 8,031.44

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1.5x scale

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.