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Finding the Fourth Proportional to 31,716.76, 47,571.54 and 8,345

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Solution

The fourth proportional to 31,716.76, 47,571.54 and 8,345 is: 12,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716.76 : 47,571.54 = 8,345 : x
  2. Step 2: Convert to fraction form
    31,716.76/47,571.54 = 8,345/x
  3. Step 3: Cross multiply
    31,716.76x = 47,571.54 × 8,345
  4. Step 4: Simplify right side
    31,716.76x = 396,984,501.30
  5. Step 5: Solve for x
    x = 396,984,501.30/31,716.76
  6. Step 6: Final answer
    x = 12,516.55

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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.