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Finding the Fourth Proportional to 27,697.44, 38,223.48 and 15,761.76

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Solution

The fourth proportional to 27,697.44, 38,223.48 and 15,761.76 is: 21,751.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.44 : 38,223.48 = 15,761.76 : x
  2. Step 2: Convert to fraction form
    27,697.44/38,223.48 = 15,761.76/x
  3. Step 3: Cross multiply
    27,697.44x = 38,223.48 × 15,761.76
  4. Step 4: Simplify right side
    27,697.44x = 602,469,318.12
  5. Step 5: Solve for x
    x = 602,469,318.12/27,697.44
  6. Step 6: Final answer
    x = 21,751.81

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Half scale
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Double scale
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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.