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Finding the Fourth Proportional to 27,872, 38,463.42 and 15,296.72

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Solution

The fourth proportional to 27,872, 38,463.42 and 15,296.72 is: 21,109.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872 : 38,463.42 = 15,296.72 : x
  2. Step 2: Convert to fraction form
    27,872/38,463.42 = 15,296.72/x
  3. Step 3: Cross multiply
    27,872x = 38,463.42 × 15,296.72
  4. Step 4: Simplify right side
    27,872x = 588,364,165.98
  5. Step 5: Solve for x
    x = 588,364,165.98/27,872
  6. Step 6: Final answer
    x = 21,109.51

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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.