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Finding the Fourth Proportional to 1,901.94, 2,853.90 and 861.75

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Solution

The fourth proportional to 1,901.94, 2,853.90 and 861.75 is: 1,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.94 : 2,853.90 = 861.75 : x
  2. Step 2: Convert to fraction form
    1,901.94/2,853.90 = 861.75/x
  3. Step 3: Cross multiply
    1,901.94x = 2,853.90 × 861.75
  4. Step 4: Simplify right side
    1,901.94x = 2,459,348.33
  5. Step 5: Solve for x
    x = 2,459,348.33/1,901.94
  6. Step 6: Final answer
    x = 1,293.07

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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.