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Finding the Fourth Proportional to 1,297.86, 1,786.50 and 1,131.78

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Solution

The fourth proportional to 1,297.86, 1,786.50 and 1,131.78 is: 1,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.86 : 1,786.50 = 1,131.78 : x
  2. Step 2: Convert to fraction form
    1,297.86/1,786.50 = 1,131.78/x
  3. Step 3: Cross multiply
    1,297.86x = 1,786.50 × 1,131.78
  4. Step 4: Simplify right side
    1,297.86x = 2,021,924.97
  5. Step 5: Solve for x
    x = 2,021,924.97/1,297.86
  6. Step 6: Final answer
    x = 1,557.89

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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.