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Finding the Fourth Proportional to 1,391.34, 1,909.81 and 1,230.44

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Solution

The fourth proportional to 1,391.34, 1,909.81 and 1,230.44 is: 1,688.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.34 : 1,909.81 = 1,230.44 : x
  2. Step 2: Convert to fraction form
    1,391.34/1,909.81 = 1,230.44/x
  3. Step 3: Cross multiply
    1,391.34x = 1,909.81 × 1,230.44
  4. Step 4: Simplify right side
    1,391.34x = 2,349,906.62
  5. Step 5: Solve for x
    x = 2,349,906.62/1,391.34
  6. Step 6: Final answer
    x = 1,688.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.