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Finding the Fourth Proportional to 1,287.88, 1,936.50 and 1,186.42

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Solution

The fourth proportional to 1,287.88, 1,936.50 and 1,186.42 is: 1,783.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.88 : 1,936.50 = 1,186.42 : x
  2. Step 2: Convert to fraction form
    1,287.88/1,936.50 = 1,186.42/x
  3. Step 3: Cross multiply
    1,287.88x = 1,936.50 × 1,186.42
  4. Step 4: Simplify right side
    1,287.88x = 2,297,502.33
  5. Step 5: Solve for x
    x = 2,297,502.33/1,287.88
  6. Step 6: Final answer
    x = 1,783.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.