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Finding the Fourth Proportional to 2,187.92, 3,021.17 and 2,029.64

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Solution

The fourth proportional to 2,187.92, 3,021.17 and 2,029.64 is: 2,802.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.92 : 3,021.17 = 2,029.64 : x
  2. Step 2: Convert to fraction form
    2,187.92/3,021.17 = 2,029.64/x
  3. Step 3: Cross multiply
    2,187.92x = 3,021.17 × 2,029.64
  4. Step 4: Simplify right side
    2,187.92x = 6,131,862.22
  5. Step 5: Solve for x
    x = 6,131,862.22/2,187.92
  6. Step 6: Final answer
    x = 2,802.60

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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.