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Finding the Fourth Proportional to 22,775.38, 34,167.09 and 7,778.99

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Solution

The fourth proportional to 22,775.38, 34,167.09 and 7,778.99 is: 11,669.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,775.38 : 34,167.09 = 7,778.99 : x
  2. Step 2: Convert to fraction form
    22,775.38/34,167.09 = 7,778.99/x
  3. Step 3: Cross multiply
    22,775.38x = 34,167.09 × 7,778.99
  4. Step 4: Simplify right side
    22,775.38x = 265,785,451.44
  5. Step 5: Solve for x
    x = 265,785,451.44/22,775.38
  6. Step 6: Final answer
    x = 11,669.86

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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.