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Finding the Fourth Proportional to 22,295.72, 30,766.82 and 12,222.20

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Solution

The fourth proportional to 22,295.72, 30,766.82 and 12,222.20 is: 16,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,295.72 : 30,766.82 = 12,222.20 : x
  2. Step 2: Convert to fraction form
    22,295.72/30,766.82 = 12,222.20/x
  3. Step 3: Cross multiply
    22,295.72x = 30,766.82 × 12,222.20
  4. Step 4: Simplify right side
    22,295.72x = 376,038,227.40
  5. Step 5: Solve for x
    x = 376,038,227.40/22,295.72
  6. Step 6: Final answer
    x = 16,865.94

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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.