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Finding the Fourth Proportional to 27,682.34, 38,203.68 and 15,749.52

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Solution

The fourth proportional to 27,682.34, 38,203.68 and 15,749.52 is: 21,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.34 : 38,203.68 = 15,749.52 : x
  2. Step 2: Convert to fraction form
    27,682.34/38,203.68 = 15,749.52/x
  3. Step 3: Cross multiply
    27,682.34x = 38,203.68 × 15,749.52
  4. Step 4: Simplify right side
    27,682.34x = 601,689,622.23
  5. Step 5: Solve for x
    x = 601,689,622.23/27,682.34
  6. Step 6: Final answer
    x = 21,735.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.