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Finding the Fourth Proportional to 2,427.81, 3,642.03 and 696.48

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Solution

The fourth proportional to 2,427.81, 3,642.03 and 696.48 is: 1,044.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.81 : 3,642.03 = 696.48 : x
  2. Step 2: Convert to fraction form
    2,427.81/3,642.03 = 696.48/x
  3. Step 3: Cross multiply
    2,427.81x = 3,642.03 × 696.48
  4. Step 4: Simplify right side
    2,427.81x = 2,536,601.05
  5. Step 5: Solve for x
    x = 2,536,601.05/2,427.81
  6. Step 6: Final answer
    x = 1,044.81

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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.