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Finding the Fourth Proportional to 1,842.26, 2,761.80 and 869.06

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Solution

The fourth proportional to 1,842.26, 2,761.80 and 869.06 is: 1,302.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.26 : 2,761.80 = 869.06 : x
  2. Step 2: Convert to fraction form
    1,842.26/2,761.80 = 869.06/x
  3. Step 3: Cross multiply
    1,842.26x = 2,761.80 × 869.06
  4. Step 4: Simplify right side
    1,842.26x = 2,400,169.91
  5. Step 5: Solve for x
    x = 2,400,169.91/1,842.26
  6. Step 6: Final answer
    x = 1,302.84

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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.