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Finding the Fourth Proportional to 1,785.75, 2,678.97 and 861.94

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Solution

The fourth proportional to 1,785.75, 2,678.97 and 861.94 is: 1,293.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.75 : 2,678.97 = 861.94 : x
  2. Step 2: Convert to fraction form
    1,785.75/2,678.97 = 861.94/x
  3. Step 3: Cross multiply
    1,785.75x = 2,678.97 × 861.94
  4. Step 4: Simplify right side
    1,785.75x = 2,309,117.98
  5. Step 5: Solve for x
    x = 2,309,117.98/1,785.75
  6. Step 6: Final answer
    x = 1,293.08

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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.