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Finding the Fourth Proportional to 31,831.73, 47,747.73 and 10,771.94

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Solution

The fourth proportional to 31,831.73, 47,747.73 and 10,771.94 is: 16,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,831.73 : 47,747.73 = 10,771.94 : x
  2. Step 2: Convert to fraction form
    31,831.73/47,747.73 = 10,771.94/x
  3. Step 3: Cross multiply
    31,831.73x = 47,747.73 × 10,771.94
  4. Step 4: Simplify right side
    31,831.73x = 514,335,682.70
  5. Step 5: Solve for x
    x = 514,335,682.70/31,831.73
  6. Step 6: Final answer
    x = 16,157.96

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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.