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Finding the Fourth Proportional to 1,223.86, 1,677.92 and 1,192.87

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Solution

The fourth proportional to 1,223.86, 1,677.92 and 1,192.87 is: 1,635.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.86 : 1,677.92 = 1,192.87 : x
  2. Step 2: Convert to fraction form
    1,223.86/1,677.92 = 1,192.87/x
  3. Step 3: Cross multiply
    1,223.86x = 1,677.92 × 1,192.87
  4. Step 4: Simplify right side
    1,223.86x = 2,001,540.43
  5. Step 5: Solve for x
    x = 2,001,540.43/1,223.86
  6. Step 6: Final answer
    x = 1,635.43

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1.5x scale

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.