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Finding the Fourth Proportional to 20,436, 30,637.68 and 10,576.80

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Solution

The fourth proportional to 20,436, 30,637.68 and 10,576.80 is: 15,856.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,436 : 30,637.68 = 10,576.80 : x
  2. Step 2: Convert to fraction form
    20,436/30,637.68 = 10,576.80/x
  3. Step 3: Cross multiply
    20,436x = 30,637.68 × 10,576.80
  4. Step 4: Simplify right side
    20,436x = 324,048,613.82
  5. Step 5: Solve for x
    x = 324,048,613.82/20,436
  6. Step 6: Final answer
    x = 15,856.75

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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.