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Finding the Fourth Proportional to 2,169.40, 2,992.62 and 1,644.52

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Solution

The fourth proportional to 2,169.40, 2,992.62 and 1,644.52 is: 2,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.40 : 2,992.62 = 1,644.52 : x
  2. Step 2: Convert to fraction form
    2,169.40/2,992.62 = 1,644.52/x
  3. Step 3: Cross multiply
    2,169.40x = 2,992.62 × 1,644.52
  4. Step 4: Simplify right side
    2,169.40x = 4,921,423.44
  5. Step 5: Solve for x
    x = 4,921,423.44/2,169.40
  6. Step 6: Final answer
    x = 2,268.56

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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.