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Finding the Fourth Proportional to 20,523.65, 30,769.07 and 11,764.71

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Solution

The fourth proportional to 20,523.65, 30,769.07 and 11,764.71 is: 17,637.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.65 : 30,769.07 = 11,764.71 : x
  2. Step 2: Convert to fraction form
    20,523.65/30,769.07 = 11,764.71/x
  3. Step 3: Cross multiply
    20,523.65x = 30,769.07 × 11,764.71
  4. Step 4: Simplify right side
    20,523.65x = 361,989,126.70
  5. Step 5: Solve for x
    x = 361,989,126.70/20,523.65
  6. Step 6: Final answer
    x = 17,637.66

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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.