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Finding the Fourth Proportional to 13,575.96, 20,358 and 6,180.12

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Solution

The fourth proportional to 13,575.96, 20,358 and 6,180.12 is: 9,267.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.96 : 20,358 = 6,180.12 : x
  2. Step 2: Convert to fraction form
    13,575.96/20,358 = 6,180.12/x
  3. Step 3: Cross multiply
    13,575.96x = 20,358 × 6,180.12
  4. Step 4: Simplify right side
    13,575.96x = 125,814,882.96
  5. Step 5: Solve for x
    x = 125,814,882.96/13,575.96
  6. Step 6: Final answer
    x = 9,267.48

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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.