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Finding the Fourth Proportional to 2,169.44, 2,993.83 and 1,174.72

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Solution

The fourth proportional to 2,169.44, 2,993.83 and 1,174.72 is: 1,621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.44 : 2,993.83 = 1,174.72 : x
  2. Step 2: Convert to fraction form
    2,169.44/2,993.83 = 1,174.72/x
  3. Step 3: Cross multiply
    2,169.44x = 2,993.83 × 1,174.72
  4. Step 4: Simplify right side
    2,169.44x = 3,516,907.01
  5. Step 5: Solve for x
    x = 3,516,907.01/2,169.44
  6. Step 6: Final answer
    x = 1,621.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.