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Finding the Fourth Proportional to 1,344.42, 1,850.24 and 1,137.31

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Solution

The fourth proportional to 1,344.42, 1,850.24 and 1,137.31 is: 1,565.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.42 : 1,850.24 = 1,137.31 : x
  2. Step 2: Convert to fraction form
    1,344.42/1,850.24 = 1,137.31/x
  3. Step 3: Cross multiply
    1,344.42x = 1,850.24 × 1,137.31
  4. Step 4: Simplify right side
    1,344.42x = 2,104,287.20
  5. Step 5: Solve for x
    x = 2,104,287.20/1,344.42
  6. Step 6: Final answer
    x = 1,565.21

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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.