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Finding the Fourth Proportional to 2,173.92, 2,999.30 and 1,229.62

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Solution

The fourth proportional to 2,173.92, 2,999.30 and 1,229.62 is: 1,696.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.92 : 2,999.30 = 1,229.62 : x
  2. Step 2: Convert to fraction form
    2,173.92/2,999.30 = 1,229.62/x
  3. Step 3: Cross multiply
    2,173.92x = 2,999.30 × 1,229.62
  4. Step 4: Simplify right side
    2,173.92x = 3,687,990.23
  5. Step 5: Solve for x
    x = 3,687,990.23/2,173.92
  6. Step 6: Final answer
    x = 1,696.47

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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.