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Finding the Fourth Proportional to 3,489.66, 5,232.78 and 2,029.32

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Solution

The fourth proportional to 3,489.66, 5,232.78 and 2,029.32 is: 3,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.66 : 5,232.78 = 2,029.32 : x
  2. Step 2: Convert to fraction form
    3,489.66/5,232.78 = 2,029.32/x
  3. Step 3: Cross multiply
    3,489.66x = 5,232.78 × 2,029.32
  4. Step 4: Simplify right side
    3,489.66x = 10,618,985.11
  5. Step 5: Solve for x
    x = 10,618,985.11/3,489.66
  6. Step 6: Final answer
    x = 3,042.99

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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.