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Finding the Fourth Proportional to 13,175.78, 19,766.97 and 9,287.78

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Solution

The fourth proportional to 13,175.78, 19,766.97 and 9,287.78 is: 13,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,175.78 : 19,766.97 = 9,287.78 : x
  2. Step 2: Convert to fraction form
    13,175.78/19,766.97 = 9,287.78/x
  3. Step 3: Cross multiply
    13,175.78x = 19,766.97 × 9,287.78
  4. Step 4: Simplify right side
    13,175.78x = 183,591,169.79
  5. Step 5: Solve for x
    x = 183,591,169.79/13,175.78
  6. Step 6: Final answer
    x = 13,933.99

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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.