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Finding the Fourth Proportional to 13,406, 20,110.44 and 6,013.76

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Solution

The fourth proportional to 13,406, 20,110.44 and 6,013.76 is: 9,021.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,406 : 20,110.44 = 6,013.76 : x
  2. Step 2: Convert to fraction form
    13,406/20,110.44 = 6,013.76/x
  3. Step 3: Cross multiply
    13,406x = 20,110.44 × 6,013.76
  4. Step 4: Simplify right side
    13,406x = 120,939,359.65
  5. Step 5: Solve for x
    x = 120,939,359.65/13,406
  6. Step 6: Final answer
    x = 9,021.29

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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.