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Finding the Fourth Proportional to 2,438.80, 3,369.37 and 1,599.19

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Solution

The fourth proportional to 2,438.80, 3,369.37 and 1,599.19 is: 2,209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438.80 : 3,369.37 = 1,599.19 : x
  2. Step 2: Convert to fraction form
    2,438.80/3,369.37 = 1,599.19/x
  3. Step 3: Cross multiply
    2,438.80x = 3,369.37 × 1,599.19
  4. Step 4: Simplify right side
    2,438.80x = 5,388,262.81
  5. Step 5: Solve for x
    x = 5,388,262.81/2,438.80
  6. Step 6: Final answer
    x = 2,209.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.