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Finding the Fourth Proportional to 20,081.76, 30,083.76 and 9,700.80

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Solution

The fourth proportional to 20,081.76, 30,083.76 and 9,700.80 is: 14,532.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,081.76 : 30,083.76 = 9,700.80 : x
  2. Step 2: Convert to fraction form
    20,081.76/30,083.76 = 9,700.80/x
  3. Step 3: Cross multiply
    20,081.76x = 30,083.76 × 9,700.80
  4. Step 4: Simplify right side
    20,081.76x = 291,836,539.01
  5. Step 5: Solve for x
    x = 291,836,539.01/20,081.76
  6. Step 6: Final answer
    x = 14,532.42

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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.