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Finding the Fourth Proportional to 11,208, 16,809.84 and 3,812.40

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Solution

The fourth proportional to 11,208, 16,809.84 and 3,812.40 is: 5,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,208 : 16,809.84 = 3,812.40 : x
  2. Step 2: Convert to fraction form
    11,208/16,809.84 = 3,812.40/x
  3. Step 3: Cross multiply
    11,208x = 16,809.84 × 3,812.40
  4. Step 4: Simplify right side
    11,208x = 64,085,834.02
  5. Step 5: Solve for x
    x = 64,085,834.02/11,208
  6. Step 6: Final answer
    x = 5,717.87

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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.