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Finding the Fourth Proportional to 17,876, 24,668.88 and 9,919.44

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Solution

The fourth proportional to 17,876, 24,668.88 and 9,919.44 is: 13,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,876 : 24,668.88 = 9,919.44 : x
  2. Step 2: Convert to fraction form
    17,876/24,668.88 = 9,919.44/x
  3. Step 3: Cross multiply
    17,876x = 24,668.88 × 9,919.44
  4. Step 4: Simplify right side
    17,876x = 244,701,475.03
  5. Step 5: Solve for x
    x = 244,701,475.03/17,876
  6. Step 6: Final answer
    x = 13,688.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.