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Finding the Fourth Proportional to 8,217.78, 12,329.77 and 4,933.16

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Solution

The fourth proportional to 8,217.78, 12,329.77 and 4,933.16 is: 7,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.78 : 12,329.77 = 4,933.16 : x
  2. Step 2: Convert to fraction form
    8,217.78/12,329.77 = 4,933.16/x
  3. Step 3: Cross multiply
    8,217.78x = 12,329.77 × 4,933.16
  4. Step 4: Simplify right side
    8,217.78x = 60,824,709.68
  5. Step 5: Solve for x
    x = 60,824,709.68/8,217.78
  6. Step 6: Final answer
    x = 7,401.60

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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.