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Finding the Fourth Proportional to 2,718.69, 4,077.90 and 844.56

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Solution

The fourth proportional to 2,718.69, 4,077.90 and 844.56 is: 1,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.69 : 4,077.90 = 844.56 : x
  2. Step 2: Convert to fraction form
    2,718.69/4,077.90 = 844.56/x
  3. Step 3: Cross multiply
    2,718.69x = 4,077.90 × 844.56
  4. Step 4: Simplify right side
    2,718.69x = 3,444,031.22
  5. Step 5: Solve for x
    x = 3,444,031.22/2,718.69
  6. Step 6: Final answer
    x = 1,266.80

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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.