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Finding the Fourth Proportional to 14,644.72, 20,209.61 and 7,930.20

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Solution

The fourth proportional to 14,644.72, 20,209.61 and 7,930.20 is: 10,943.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.72 : 20,209.61 = 7,930.20 : x
  2. Step 2: Convert to fraction form
    14,644.72/20,209.61 = 7,930.20/x
  3. Step 3: Cross multiply
    14,644.72x = 20,209.61 × 7,930.20
  4. Step 4: Simplify right side
    14,644.72x = 160,266,249.22
  5. Step 5: Solve for x
    x = 160,266,249.22/14,644.72
  6. Step 6: Final answer
    x = 10,943.62

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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.