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Finding the Fourth Proportional to 13,691.90, 20,519.96 and 7,022.77

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Solution

The fourth proportional to 13,691.90, 20,519.96 and 7,022.77 is: 10,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.90 : 20,519.96 = 7,022.77 : x
  2. Step 2: Convert to fraction form
    13,691.90/20,519.96 = 7,022.77/x
  3. Step 3: Cross multiply
    13,691.90x = 20,519.96 × 7,022.77
  4. Step 4: Simplify right side
    13,691.90x = 144,106,873.08
  5. Step 5: Solve for x
    x = 144,106,873.08/13,691.90
  6. Step 6: Final answer
    x = 10,524.97

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1.5x scale

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.