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Finding the Fourth Proportional to 8,552.82, 12,820.50 and 4,847.22

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Solution

The fourth proportional to 8,552.82, 12,820.50 and 4,847.22 is: 7,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.82 : 12,820.50 = 4,847.22 : x
  2. Step 2: Convert to fraction form
    8,552.82/12,820.50 = 4,847.22/x
  3. Step 3: Cross multiply
    8,552.82x = 12,820.50 × 4,847.22
  4. Step 4: Simplify right side
    8,552.82x = 62,143,784.01
  5. Step 5: Solve for x
    x = 62,143,784.01/8,552.82
  6. Step 6: Final answer
    x = 7,265.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.