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Finding the Fourth Proportional to 20,494.40, 30,741.72 and 5,704.40

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Solution

The fourth proportional to 20,494.40, 30,741.72 and 5,704.40 is: 8,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,494.40 : 30,741.72 = 5,704.40 : x
  2. Step 2: Convert to fraction form
    20,494.40/30,741.72 = 5,704.40/x
  3. Step 3: Cross multiply
    20,494.40x = 30,741.72 × 5,704.40
  4. Step 4: Simplify right side
    20,494.40x = 175,363,067.57
  5. Step 5: Solve for x
    x = 175,363,067.57/20,494.40
  6. Step 6: Final answer
    x = 8,556.63

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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.