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Finding the Fourth Proportional to 2,029.18, 3,044.34 and 779.62

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Solution

The fourth proportional to 2,029.18, 3,044.34 and 779.62 is: 1,169.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.18 : 3,044.34 = 779.62 : x
  2. Step 2: Convert to fraction form
    2,029.18/3,044.34 = 779.62/x
  3. Step 3: Cross multiply
    2,029.18x = 3,044.34 × 779.62
  4. Step 4: Simplify right side
    2,029.18x = 2,373,428.35
  5. Step 5: Solve for x
    x = 2,373,428.35/2,029.18
  6. Step 6: Final answer
    x = 1,169.65

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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.