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Finding the Fourth Proportional to 22,328.38, 30,813.56 and 12,257.76

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Solution

The fourth proportional to 22,328.38, 30,813.56 and 12,257.76 is: 16,915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,328.38 : 30,813.56 = 12,257.76 : x
  2. Step 2: Convert to fraction form
    22,328.38/30,813.56 = 12,257.76/x
  3. Step 3: Cross multiply
    22,328.38x = 30,813.56 × 12,257.76
  4. Step 4: Simplify right side
    22,328.38x = 377,705,223.23
  5. Step 5: Solve for x
    x = 377,705,223.23/22,328.38
  6. Step 6: Final answer
    x = 16,915.93

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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.