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Finding the Fourth Proportional to 18,738.78, 28,129.74 and 9,524.22

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Solution

The fourth proportional to 18,738.78, 28,129.74 and 9,524.22 is: 14,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738.78 : 28,129.74 = 9,524.22 : x
  2. Step 2: Convert to fraction form
    18,738.78/28,129.74 = 9,524.22/x
  3. Step 3: Cross multiply
    18,738.78x = 28,129.74 × 9,524.22
  4. Step 4: Simplify right side
    18,738.78x = 267,913,832.30
  5. Step 5: Solve for x
    x = 267,913,832.30/18,738.78
  6. Step 6: Final answer
    x = 14,297.29

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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.