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Finding the Fourth Proportional to 2,003.87, 3,005.84 and 689.13

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Solution

The fourth proportional to 2,003.87, 3,005.84 and 689.13 is: 1,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.87 : 3,005.84 = 689.13 : x
  2. Step 2: Convert to fraction form
    2,003.87/3,005.84 = 689.13/x
  3. Step 3: Cross multiply
    2,003.87x = 3,005.84 × 689.13
  4. Step 4: Simplify right side
    2,003.87x = 2,071,416.24
  5. Step 5: Solve for x
    x = 2,071,416.24/2,003.87
  6. Step 6: Final answer
    x = 1,033.71

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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.