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Finding the Fourth Proportional to 2,029.12, 3,043.20 and 989.20

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Solution

The fourth proportional to 2,029.12, 3,043.20 and 989.20 is: 1,483.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.12 : 3,043.20 = 989.20 : x
  2. Step 2: Convert to fraction form
    2,029.12/3,043.20 = 989.20/x
  3. Step 3: Cross multiply
    2,029.12x = 3,043.20 × 989.20
  4. Step 4: Simplify right side
    2,029.12x = 3,010,333.44
  5. Step 5: Solve for x
    x = 3,010,333.44/2,029.12
  6. Step 6: Final answer
    x = 1,483.57

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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.