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Finding the Fourth Proportional to 3,379, 5,067.72 and 1,298.32

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Solution

The fourth proportional to 3,379, 5,067.72 and 1,298.32 is: 1,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379 : 5,067.72 = 1,298.32 : x
  2. Step 2: Convert to fraction form
    3,379/5,067.72 = 1,298.32/x
  3. Step 3: Cross multiply
    3,379x = 5,067.72 × 1,298.32
  4. Step 4: Simplify right side
    3,379x = 6,579,522.23
  5. Step 5: Solve for x
    x = 6,579,522.23/3,379
  6. Step 6: Final answer
    x = 1,947.18

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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.