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Finding the Fourth Proportional to 20,422.76, 30,614.99 and 7,950.78

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Solution

The fourth proportional to 20,422.76, 30,614.99 and 7,950.78 is: 11,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,422.76 : 30,614.99 = 7,950.78 : x
  2. Step 2: Convert to fraction form
    20,422.76/30,614.99 = 7,950.78/x
  3. Step 3: Cross multiply
    20,422.76x = 30,614.99 × 7,950.78
  4. Step 4: Simplify right side
    20,422.76x = 243,413,010.44
  5. Step 5: Solve for x
    x = 243,413,010.44/20,422.76
  6. Step 6: Final answer
    x = 11,918.72

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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.