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Finding the Fourth Proportional to 13,525, 20,273.82 and 6,494.74

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Solution

The fourth proportional to 13,525, 20,273.82 and 6,494.74 is: 9,735.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525 : 20,273.82 = 6,494.74 : x
  2. Step 2: Convert to fraction form
    13,525/20,273.82 = 6,494.74/x
  3. Step 3: Cross multiply
    13,525x = 20,273.82 × 6,494.74
  4. Step 4: Simplify right side
    13,525x = 131,673,189.71
  5. Step 5: Solve for x
    x = 131,673,189.71/13,525
  6. Step 6: Final answer
    x = 9,735.54

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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.