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Finding the Fourth Proportional to 36,228.28, 54,358 and 19,600

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Solution

The fourth proportional to 36,228.28, 54,358 and 19,600 is: 29,408.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,228.28 : 54,358 = 19,600 : x
  2. Step 2: Convert to fraction form
    36,228.28/54,358 = 19,600/x
  3. Step 3: Cross multiply
    36,228.28x = 54,358 × 19,600
  4. Step 4: Simplify right side
    36,228.28x = 1,065,416,800
  5. Step 5: Solve for x
    x = 1,065,416,800/36,228.28
  6. Step 6: Final answer
    x = 29,408.43

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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.