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Finding the Fourth Proportional to 20,512.99, 30,769.48 and 4,930.61

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Solution

The fourth proportional to 20,512.99, 30,769.48 and 4,930.61 is: 7,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.99 : 30,769.48 = 4,930.61 : x
  2. Step 2: Convert to fraction form
    20,512.99/30,769.48 = 4,930.61/x
  3. Step 3: Cross multiply
    20,512.99x = 30,769.48 × 4,930.61
  4. Step 4: Simplify right side
    20,512.99x = 151,712,281.13
  5. Step 5: Solve for x
    x = 151,712,281.13/20,512.99
  6. Step 6: Final answer
    x = 7,395.91

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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.