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Finding the Fourth Proportional to 20,515.76, 30,767.56 and 5,721.11

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Solution

The fourth proportional to 20,515.76, 30,767.56 and 5,721.11 is: 8,579.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,515.76 : 30,767.56 = 5,721.11 : x
  2. Step 2: Convert to fraction form
    20,515.76/30,767.56 = 5,721.11/x
  3. Step 3: Cross multiply
    20,515.76x = 30,767.56 × 5,721.11
  4. Step 4: Simplify right side
    20,515.76x = 176,024,427.05
  5. Step 5: Solve for x
    x = 176,024,427.05/20,515.76
  6. Step 6: Final answer
    x = 8,579.96

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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.