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Finding the Fourth Proportional to 27,613.82, 38,111.10 and 15,674.70

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Solution

The fourth proportional to 27,613.82, 38,111.10 and 15,674.70 is: 21,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,613.82 : 38,111.10 = 15,674.70 : x
  2. Step 2: Convert to fraction form
    27,613.82/38,111.10 = 15,674.70/x
  3. Step 3: Cross multiply
    27,613.82x = 38,111.10 × 15,674.70
  4. Step 4: Simplify right side
    27,613.82x = 597,380,059.17
  5. Step 5: Solve for x
    x = 597,380,059.17/27,613.82
  6. Step 6: Final answer
    x = 21,633.37

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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.