Home / 11,522.64-15,899.82-6,806

Finding the Fourth Proportional to 11,522.64, 15,899.82 and 6,806

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Solution

The fourth proportional to 11,522.64, 15,899.82 and 6,806 is: 9,391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.64 : 15,899.82 = 6,806 : x
  2. Step 2: Convert to fraction form
    11,522.64/15,899.82 = 6,806/x
  3. Step 3: Cross multiply
    11,522.64x = 15,899.82 × 6,806
  4. Step 4: Simplify right side
    11,522.64x = 108,214,174.92
  5. Step 5: Solve for x
    x = 108,214,174.92/11,522.64
  6. Step 6: Final answer
    x = 9,391.44

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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.