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Finding the Fourth Proportional to 31,965.96, 47,951.13 and 10,900.50

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Solution

The fourth proportional to 31,965.96, 47,951.13 and 10,900.50 is: 16,351.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,965.96 : 47,951.13 = 10,900.50 : x
  2. Step 2: Convert to fraction form
    31,965.96/47,951.13 = 10,900.50/x
  3. Step 3: Cross multiply
    31,965.96x = 47,951.13 × 10,900.50
  4. Step 4: Simplify right side
    31,965.96x = 522,691,292.57
  5. Step 5: Solve for x
    x = 522,691,292.57/31,965.96
  6. Step 6: Final answer
    x = 16,351.50

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