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Finding the Fourth Proportional to 2,399.14, 3,597.90 and 937.90

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Solution

The fourth proportional to 2,399.14, 3,597.90 and 937.90 is: 1,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.14 : 3,597.90 = 937.90 : x
  2. Step 2: Convert to fraction form
    2,399.14/3,597.90 = 937.90/x
  3. Step 3: Cross multiply
    2,399.14x = 3,597.90 × 937.90
  4. Step 4: Simplify right side
    2,399.14x = 3,374,470.41
  5. Step 5: Solve for x
    x = 3,374,470.41/2,399.14
  6. Step 6: Final answer
    x = 1,406.53

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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.