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Finding the Fourth Proportional to 31,914.80, 47,871.86 and 8,222.25

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Solution

The fourth proportional to 31,914.80, 47,871.86 and 8,222.25 is: 12,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,914.80 : 47,871.86 = 8,222.25 : x
  2. Step 2: Convert to fraction form
    31,914.80/47,871.86 = 8,222.25/x
  3. Step 3: Cross multiply
    31,914.80x = 47,871.86 × 8,222.25
  4. Step 4: Simplify right side
    31,914.80x = 393,614,248.94
  5. Step 5: Solve for x
    x = 393,614,248.94/31,914.80
  6. Step 6: Final answer
    x = 12,333.28

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1.5x scale

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.