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Finding the Fourth Proportional to 1,901.21, 2,853.33 and 861.29

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Solution

The fourth proportional to 1,901.21, 2,853.33 and 861.29 is: 1,292.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.21 : 2,853.33 = 861.29 : x
  2. Step 2: Convert to fraction form
    1,901.21/2,853.33 = 861.29/x
  3. Step 3: Cross multiply
    1,901.21x = 2,853.33 × 861.29
  4. Step 4: Simplify right side
    1,901.21x = 2,457,544.60
  5. Step 5: Solve for x
    x = 2,457,544.60/1,901.21
  6. Step 6: Final answer
    x = 1,292.62

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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.