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Finding the Fourth Proportional to 20,491.88, 30,700 and 10,620.68

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Solution

The fourth proportional to 20,491.88, 30,700 and 10,620.68 is: 15,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,491.88 : 30,700 = 10,620.68 : x
  2. Step 2: Convert to fraction form
    20,491.88/30,700 = 10,620.68/x
  3. Step 3: Cross multiply
    20,491.88x = 30,700 × 10,620.68
  4. Step 4: Simplify right side
    20,491.88x = 326,054,876
  5. Step 5: Solve for x
    x = 326,054,876/20,491.88
  6. Step 6: Final answer
    x = 15,911.42

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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.