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Finding the Fourth Proportional to 35,275.88, 48,682.14 and 20,171

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Solution

The fourth proportional to 35,275.88, 48,682.14 and 20,171 is: 27,836.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,275.88 : 48,682.14 = 20,171 : x
  2. Step 2: Convert to fraction form
    35,275.88/48,682.14 = 20,171/x
  3. Step 3: Cross multiply
    35,275.88x = 48,682.14 × 20,171
  4. Step 4: Simplify right side
    35,275.88x = 981,967,445.94
  5. Step 5: Solve for x
    x = 981,967,445.94/35,275.88
  6. Step 6: Final answer
    x = 27,836.80

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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.