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Finding the Fourth Proportional to 8,902.22, 12,284.82 and 4,923.20

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Solution

The fourth proportional to 8,902.22, 12,284.82 and 4,923.20 is: 6,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.22 : 12,284.82 = 4,923.20 : x
  2. Step 2: Convert to fraction form
    8,902.22/12,284.82 = 4,923.20/x
  3. Step 3: Cross multiply
    8,902.22x = 12,284.82 × 4,923.20
  4. Step 4: Simplify right side
    8,902.22x = 60,480,625.82
  5. Step 5: Solve for x
    x = 60,480,625.82/8,902.22
  6. Step 6: Final answer
    x = 6,793.88

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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.