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Finding the Fourth Proportional to 14,785.78, 22,183 and 5,552.50

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Solution

The fourth proportional to 14,785.78, 22,183 and 5,552.50 is: 8,330.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785.78 : 22,183 = 5,552.50 : x
  2. Step 2: Convert to fraction form
    14,785.78/22,183 = 5,552.50/x
  3. Step 3: Cross multiply
    14,785.78x = 22,183 × 5,552.50
  4. Step 4: Simplify right side
    14,785.78x = 123,171,107.50
  5. Step 5: Solve for x
    x = 123,171,107.50/14,785.78
  6. Step 6: Final answer
    x = 8,330.38

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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.