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Finding the Fourth Proportional to 8,529.92, 12,799.20 and 3,916.16

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Solution

The fourth proportional to 8,529.92, 12,799.20 and 3,916.16 is: 5,876.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.92 : 12,799.20 = 3,916.16 : x
  2. Step 2: Convert to fraction form
    8,529.92/12,799.20 = 3,916.16/x
  3. Step 3: Cross multiply
    8,529.92x = 12,799.20 × 3,916.16
  4. Step 4: Simplify right side
    8,529.92x = 50,123,715.07
  5. Step 5: Solve for x
    x = 50,123,715.07/8,529.92
  6. Step 6: Final answer
    x = 5,876.22

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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.