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Finding the Fourth Proportional to 18,115.83, 24,989.23 and 11,390.80

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Solution

The fourth proportional to 18,115.83, 24,989.23 and 11,390.80 is: 15,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,115.83 : 24,989.23 = 11,390.80 : x
  2. Step 2: Convert to fraction form
    18,115.83/24,989.23 = 11,390.80/x
  3. Step 3: Cross multiply
    18,115.83x = 24,989.23 × 11,390.80
  4. Step 4: Simplify right side
    18,115.83x = 284,647,321.08
  5. Step 5: Solve for x
    x = 284,647,321.08/18,115.83
  6. Step 6: Final answer
    x = 15,712.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.