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Finding the Fourth Proportional to 16,720.25, 25,074.36 and 7,834.05

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Solution

The fourth proportional to 16,720.25, 25,074.36 and 7,834.05 is: 11,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,720.25 : 25,074.36 = 7,834.05 : x
  2. Step 2: Convert to fraction form
    16,720.25/25,074.36 = 7,834.05/x
  3. Step 3: Cross multiply
    16,720.25x = 25,074.36 × 7,834.05
  4. Step 4: Simplify right side
    16,720.25x = 196,433,789.96
  5. Step 5: Solve for x
    x = 196,433,789.96/16,720.25
  6. Step 6: Final answer
    x = 11,748.26

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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.