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Finding the Fourth Proportional to 31,759.50, 47,639.16 and 8,385.78

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Solution

The fourth proportional to 31,759.50, 47,639.16 and 8,385.78 is: 12,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759.50 : 47,639.16 = 8,385.78 : x
  2. Step 2: Convert to fraction form
    31,759.50/47,639.16 = 8,385.78/x
  3. Step 3: Cross multiply
    31,759.50x = 47,639.16 × 8,385.78
  4. Step 4: Simplify right side
    31,759.50x = 399,491,515.14
  5. Step 5: Solve for x
    x = 399,491,515.14/31,759.50
  6. Step 6: Final answer
    x = 12,578.65

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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.