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Finding the Fourth Proportional to 31,672.80, 47,509.20 and 8,299.68

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Solution

The fourth proportional to 31,672.80, 47,509.20 and 8,299.68 is: 12,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.80 : 47,509.20 = 8,299.68 : x
  2. Step 2: Convert to fraction form
    31,672.80/47,509.20 = 8,299.68/x
  3. Step 3: Cross multiply
    31,672.80x = 47,509.20 × 8,299.68
  4. Step 4: Simplify right side
    31,672.80x = 394,311,157.06
  5. Step 5: Solve for x
    x = 394,311,157.06/31,672.80
  6. Step 6: Final answer
    x = 12,449.52

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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.