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Finding the Fourth Proportional to 3,369, 5,052.72 and 1,288.26

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Solution

The fourth proportional to 3,369, 5,052.72 and 1,288.26 is: 1,932.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,369 : 5,052.72 = 1,288.26 : x
  2. Step 2: Convert to fraction form
    3,369/5,052.72 = 1,288.26/x
  3. Step 3: Cross multiply
    3,369x = 5,052.72 × 1,288.26
  4. Step 4: Simplify right side
    3,369x = 6,509,217.07
  5. Step 5: Solve for x
    x = 6,509,217.07/3,369
  6. Step 6: Final answer
    x = 1,932.09

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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.