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Finding the Fourth Proportional to 31,836.63, 47,754.77 and 8,144.14

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Solution

The fourth proportional to 31,836.63, 47,754.77 and 8,144.14 is: 12,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836.63 : 47,754.77 = 8,144.14 : x
  2. Step 2: Convert to fraction form
    31,836.63/47,754.77 = 8,144.14/x
  3. Step 3: Cross multiply
    31,836.63x = 47,754.77 × 8,144.14
  4. Step 4: Simplify right side
    31,836.63x = 388,921,532.55
  5. Step 5: Solve for x
    x = 388,921,532.55/31,836.63
  6. Step 6: Final answer
    x = 12,216.17

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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.