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Finding the Fourth Proportional to 27,745, 38,288.10 and 15,169.75

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Solution

The fourth proportional to 27,745, 38,288.10 and 15,169.75 is: 20,934.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745 : 38,288.10 = 15,169.75 : x
  2. Step 2: Convert to fraction form
    27,745/38,288.10 = 15,169.75/x
  3. Step 3: Cross multiply
    27,745x = 38,288.10 × 15,169.75
  4. Step 4: Simplify right side
    27,745x = 580,820,904.98
  5. Step 5: Solve for x
    x = 580,820,904.98/27,745
  6. Step 6: Final answer
    x = 20,934.26

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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.