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Finding the Fourth Proportional to 27,100.71, 40,654.64 and 12,107.95

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Solution

The fourth proportional to 27,100.71, 40,654.64 and 12,107.95 is: 18,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,100.71 : 40,654.64 = 12,107.95 : x
  2. Step 2: Convert to fraction form
    27,100.71/40,654.64 = 12,107.95/x
  3. Step 3: Cross multiply
    27,100.71x = 40,654.64 × 12,107.95
  4. Step 4: Simplify right side
    27,100.71x = 492,244,277.02
  5. Step 5: Solve for x
    x = 492,244,277.02/27,100.71
  6. Step 6: Final answer
    x = 18,163.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.