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Finding the Fourth Proportional to 31,187.25, 46,780.88 and 7,813.71

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Solution

The fourth proportional to 31,187.25, 46,780.88 and 7,813.71 is: 11,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187.25 : 46,780.88 = 7,813.71 : x
  2. Step 2: Convert to fraction form
    31,187.25/46,780.88 = 7,813.71/x
  3. Step 3: Cross multiply
    31,187.25x = 46,780.88 × 7,813.71
  4. Step 4: Simplify right side
    31,187.25x = 365,532,190.80
  5. Step 5: Solve for x
    x = 365,532,190.80/31,187.25
  6. Step 6: Final answer
    x = 11,720.57

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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.