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Finding the Fourth Proportional to 2,400.45, 3,599.25 and 937.90

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Solution

The fourth proportional to 2,400.45, 3,599.25 and 937.90 is: 1,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400.45 : 3,599.25 = 937.90 : x
  2. Step 2: Convert to fraction form
    2,400.45/3,599.25 = 937.90/x
  3. Step 3: Cross multiply
    2,400.45x = 3,599.25 × 937.90
  4. Step 4: Simplify right side
    2,400.45x = 3,375,736.58
  5. Step 5: Solve for x
    x = 3,375,736.58/2,400.45
  6. Step 6: Final answer
    x = 1,406.29

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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.