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Finding the Fourth Proportional to 20,140.80, 27,792 and 11,758.08

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Solution

The fourth proportional to 20,140.80, 27,792 and 11,758.08 is: 16,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.80 : 27,792 = 11,758.08 : x
  2. Step 2: Convert to fraction form
    20,140.80/27,792 = 11,758.08/x
  3. Step 3: Cross multiply
    20,140.80x = 27,792 × 11,758.08
  4. Step 4: Simplify right side
    20,140.80x = 326,780,559.36
  5. Step 5: Solve for x
    x = 326,780,559.36/20,140.80
  6. Step 6: Final answer
    x = 16,224.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.