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Finding the Fourth Proportional to 2,168.13, 2,992.20 and 1,223.88

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Solution

The fourth proportional to 2,168.13, 2,992.20 and 1,223.88 is: 1,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.13 : 2,992.20 = 1,223.88 : x
  2. Step 2: Convert to fraction form
    2,168.13/2,992.20 = 1,223.88/x
  3. Step 3: Cross multiply
    2,168.13x = 2,992.20 × 1,223.88
  4. Step 4: Simplify right side
    2,168.13x = 3,662,093.74
  5. Step 5: Solve for x
    x = 3,662,093.74/2,168.13
  6. Step 6: Final answer
    x = 1,689.06

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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.