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Finding the Fourth Proportional to 27,277, 37,660.84 and 20,107.76

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Solution

The fourth proportional to 27,277, 37,660.84 and 20,107.76 is: 27,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,277 : 37,660.84 = 20,107.76 : x
  2. Step 2: Convert to fraction form
    27,277/37,660.84 = 20,107.76/x
  3. Step 3: Cross multiply
    27,277x = 37,660.84 × 20,107.76
  4. Step 4: Simplify right side
    27,277x = 757,275,132.12
  5. Step 5: Solve for x
    x = 757,275,132.12/27,277
  6. Step 6: Final answer
    x = 27,762.41

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1.5x scale

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.