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Finding the Fourth Proportional to 18,919, 28,375.96 and 7,824.16

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Solution

The fourth proportional to 18,919, 28,375.96 and 7,824.16 is: 11,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,919 : 28,375.96 = 7,824.16 : x
  2. Step 2: Convert to fraction form
    18,919/28,375.96 = 7,824.16/x
  3. Step 3: Cross multiply
    18,919x = 28,375.96 × 7,824.16
  4. Step 4: Simplify right side
    18,919x = 222,018,051.19
  5. Step 5: Solve for x
    x = 222,018,051.19/18,919
  6. Step 6: Final answer
    x = 11,735.19

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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.