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Finding the Fourth Proportional to 13,920.90, 20,885 and 5,158.32

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Solution

The fourth proportional to 13,920.90, 20,885 and 5,158.32 is: 7,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.90 : 20,885 = 5,158.32 : x
  2. Step 2: Convert to fraction form
    13,920.90/20,885 = 5,158.32/x
  3. Step 3: Cross multiply
    13,920.90x = 20,885 × 5,158.32
  4. Step 4: Simplify right side
    13,920.90x = 107,731,513.20
  5. Step 5: Solve for x
    x = 107,731,513.20/13,920.90
  6. Step 6: Final answer
    x = 7,738.83

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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.