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Finding the Fourth Proportional to 20,247, 30,349.96 and 7,763.80

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Solution

The fourth proportional to 20,247, 30,349.96 and 7,763.80 is: 11,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,247 : 30,349.96 = 7,763.80 : x
  2. Step 2: Convert to fraction form
    20,247/30,349.96 = 7,763.80/x
  3. Step 3: Cross multiply
    20,247x = 30,349.96 × 7,763.80
  4. Step 4: Simplify right side
    20,247x = 235,631,019.45
  5. Step 5: Solve for x
    x = 235,631,019.45/20,247
  6. Step 6: Final answer
    x = 11,637.82

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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.