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Finding the Fourth Proportional to 20,614.62, 30,915 and 7,464.24

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Solution

The fourth proportional to 20,614.62, 30,915 and 7,464.24 is: 11,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.62 : 30,915 = 7,464.24 : x
  2. Step 2: Convert to fraction form
    20,614.62/30,915 = 7,464.24/x
  3. Step 3: Cross multiply
    20,614.62x = 30,915 × 7,464.24
  4. Step 4: Simplify right side
    20,614.62x = 230,756,979.60
  5. Step 5: Solve for x
    x = 230,756,979.60/20,614.62
  6. Step 6: Final answer
    x = 11,193.85

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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.