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Finding the Fourth Proportional to 8,963.22, 12,363.12 and 8,219.64

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Solution

The fourth proportional to 8,963.22, 12,363.12 and 8,219.64 is: 11,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.22 : 12,363.12 = 8,219.64 : x
  2. Step 2: Convert to fraction form
    8,963.22/12,363.12 = 8,219.64/x
  3. Step 3: Cross multiply
    8,963.22x = 12,363.12 × 8,219.64
  4. Step 4: Simplify right side
    8,963.22x = 101,620,395.68
  5. Step 5: Solve for x
    x = 101,620,395.68/8,963.22
  6. Step 6: Final answer
    x = 11,337.49

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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.