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Finding the Fourth Proportional to 1,834.92, 2,752.79 and 861.03

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Solution

The fourth proportional to 1,834.92, 2,752.79 and 861.03 is: 1,291.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.92 : 2,752.79 = 861.03 : x
  2. Step 2: Convert to fraction form
    1,834.92/2,752.79 = 861.03/x
  3. Step 3: Cross multiply
    1,834.92x = 2,752.79 × 861.03
  4. Step 4: Simplify right side
    1,834.92x = 2,370,230.47
  5. Step 5: Solve for x
    x = 2,370,230.47/1,834.92
  6. Step 6: Final answer
    x = 1,291.74

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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.