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Finding the Fourth Proportional to 1,836.54, 2,752.57 and 861.34

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Solution

The fourth proportional to 1,836.54, 2,752.57 and 861.34 is: 1,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.54 : 2,752.57 = 861.34 : x
  2. Step 2: Convert to fraction form
    1,836.54/2,752.57 = 861.34/x
  3. Step 3: Cross multiply
    1,836.54x = 2,752.57 × 861.34
  4. Step 4: Simplify right side
    1,836.54x = 2,370,898.64
  5. Step 5: Solve for x
    x = 2,370,898.64/1,836.54
  6. Step 6: Final answer
    x = 1,290.96

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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.