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Finding the Fourth Proportional to 2,246.64, 3,369.72 and 785.82

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Solution

The fourth proportional to 2,246.64, 3,369.72 and 785.82 is: 1,178.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.64 : 3,369.72 = 785.82 : x
  2. Step 2: Convert to fraction form
    2,246.64/3,369.72 = 785.82/x
  3. Step 3: Cross multiply
    2,246.64x = 3,369.72 × 785.82
  4. Step 4: Simplify right side
    2,246.64x = 2,647,993.37
  5. Step 5: Solve for x
    x = 2,647,993.37/2,246.64
  6. Step 6: Final answer
    x = 1,178.65

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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.