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Finding the Fourth Proportional to 2,029.46, 3,044.81 and 989.31

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Solution

The fourth proportional to 2,029.46, 3,044.81 and 989.31 is: 1,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.46 : 3,044.81 = 989.31 : x
  2. Step 2: Convert to fraction form
    2,029.46/3,044.81 = 989.31/x
  3. Step 3: Cross multiply
    2,029.46x = 3,044.81 × 989.31
  4. Step 4: Simplify right side
    2,029.46x = 3,012,256.03
  5. Step 5: Solve for x
    x = 3,012,256.03/2,029.46
  6. Step 6: Final answer
    x = 1,484.27

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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.