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Finding the Fourth Proportional to 2,930.72, 4,044.41 and 1,811.41

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Solution

The fourth proportional to 2,930.72, 4,044.41 and 1,811.41 is: 2,499.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.72 : 4,044.41 = 1,811.41 : x
  2. Step 2: Convert to fraction form
    2,930.72/4,044.41 = 1,811.41/x
  3. Step 3: Cross multiply
    2,930.72x = 4,044.41 × 1,811.41
  4. Step 4: Simplify right side
    2,930.72x = 7,326,079.14
  5. Step 5: Solve for x
    x = 7,326,079.14/2,930.72
  6. Step 6: Final answer
    x = 2,499.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.