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Finding the Fourth Proportional to 1,857.33, 2,786.13 and 761.70

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Solution

The fourth proportional to 1,857.33, 2,786.13 and 761.70 is: 1,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.33 : 2,786.13 = 761.70 : x
  2. Step 2: Convert to fraction form
    1,857.33/2,786.13 = 761.70/x
  3. Step 3: Cross multiply
    1,857.33x = 2,786.13 × 761.70
  4. Step 4: Simplify right side
    1,857.33x = 2,122,195.22
  5. Step 5: Solve for x
    x = 2,122,195.22/1,857.33
  6. Step 6: Final answer
    x = 1,142.61

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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.