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Finding the Fourth Proportional to 27,682.56, 38,201.40 and 15,107.40

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Solution

The fourth proportional to 27,682.56, 38,201.40 and 15,107.40 is: 20,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.56 : 38,201.40 = 15,107.40 : x
  2. Step 2: Convert to fraction form
    27,682.56/38,201.40 = 15,107.40/x
  3. Step 3: Cross multiply
    27,682.56x = 38,201.40 × 15,107.40
  4. Step 4: Simplify right side
    27,682.56x = 577,123,830.36
  5. Step 5: Solve for x
    x = 577,123,830.36/27,682.56
  6. Step 6: Final answer
    x = 20,847.92

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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.