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Finding the Fourth Proportional to 2,532.35, 3,800.22 and 888.90

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Solution

The fourth proportional to 2,532.35, 3,800.22 and 888.90 is: 1,333.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,532.35 : 3,800.22 = 888.90 : x
  2. Step 2: Convert to fraction form
    2,532.35/3,800.22 = 888.90/x
  3. Step 3: Cross multiply
    2,532.35x = 3,800.22 × 888.90
  4. Step 4: Simplify right side
    2,532.35x = 3,378,015.56
  5. Step 5: Solve for x
    x = 3,378,015.56/2,532.35
  6. Step 6: Final answer
    x = 1,333.95

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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.