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Finding the Fourth Proportional to 1,818.12, 2,726.37 and 844.50

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Solution

The fourth proportional to 1,818.12, 2,726.37 and 844.50 is: 1,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.12 : 2,726.37 = 844.50 : x
  2. Step 2: Convert to fraction form
    1,818.12/2,726.37 = 844.50/x
  3. Step 3: Cross multiply
    1,818.12x = 2,726.37 × 844.50
  4. Step 4: Simplify right side
    1,818.12x = 2,302,419.47
  5. Step 5: Solve for x
    x = 2,302,419.47/1,818.12
  6. Step 6: Final answer
    x = 1,266.37

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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.