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Finding the Fourth Proportional to 18,916.94, 28,345.98 and 7,223.78

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Solution

The fourth proportional to 18,916.94, 28,345.98 and 7,223.78 is: 10,824.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,916.94 : 28,345.98 = 7,223.78 : x
  2. Step 2: Convert to fraction form
    18,916.94/28,345.98 = 7,223.78/x
  3. Step 3: Cross multiply
    18,916.94x = 28,345.98 × 7,223.78
  4. Step 4: Simplify right side
    18,916.94x = 204,765,123.40
  5. Step 5: Solve for x
    x = 204,765,123.40/18,916.94
  6. Step 6: Final answer
    x = 10,824.43

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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.