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Finding the Fourth Proportional to 31,813.60, 47,725.80 and 9,626.80

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Solution

The fourth proportional to 31,813.60, 47,725.80 and 9,626.80 is: 14,441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.60 : 47,725.80 = 9,626.80 : x
  2. Step 2: Convert to fraction form
    31,813.60/47,725.80 = 9,626.80/x
  3. Step 3: Cross multiply
    31,813.60x = 47,725.80 × 9,626.80
  4. Step 4: Simplify right side
    31,813.60x = 459,446,731.44
  5. Step 5: Solve for x
    x = 459,446,731.44/31,813.60
  6. Step 6: Final answer
    x = 14,441.83

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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.