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Finding the Fourth Proportional to 2,122.86, 3,169.80 and 1,873.97

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Solution

The fourth proportional to 2,122.86, 3,169.80 and 1,873.97 is: 2,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.86 : 3,169.80 = 1,873.97 : x
  2. Step 2: Convert to fraction form
    2,122.86/3,169.80 = 1,873.97/x
  3. Step 3: Cross multiply
    2,122.86x = 3,169.80 × 1,873.97
  4. Step 4: Simplify right side
    2,122.86x = 5,940,094.26
  5. Step 5: Solve for x
    x = 5,940,094.26/2,122.86
  6. Step 6: Final answer
    x = 2,798.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.