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Finding the Fourth Proportional to 19,101.75, 28,664.15 and 8,157.75

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Solution

The fourth proportional to 19,101.75, 28,664.15 and 8,157.75 is: 12,241.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,101.75 : 28,664.15 = 8,157.75 : x
  2. Step 2: Convert to fraction form
    19,101.75/28,664.15 = 8,157.75/x
  3. Step 3: Cross multiply
    19,101.75x = 28,664.15 × 8,157.75
  4. Step 4: Simplify right side
    19,101.75x = 233,834,928.87
  5. Step 5: Solve for x
    x = 233,834,928.87/19,101.75
  6. Step 6: Final answer
    x = 12,241.54

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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.