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Finding the Fourth Proportional to 2,305.35, 3,458.22 and 989.16

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Solution

The fourth proportional to 2,305.35, 3,458.22 and 989.16 is: 1,483.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.35 : 3,458.22 = 989.16 : x
  2. Step 2: Convert to fraction form
    2,305.35/3,458.22 = 989.16/x
  3. Step 3: Cross multiply
    2,305.35x = 3,458.22 × 989.16
  4. Step 4: Simplify right side
    2,305.35x = 3,420,732.90
  5. Step 5: Solve for x
    x = 3,420,732.90/2,305.35
  6. Step 6: Final answer
    x = 1,483.82

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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.