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Finding the Fourth Proportional to 4,552.72, 6,831 and 1,920.88

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Solution

The fourth proportional to 4,552.72, 6,831 and 1,920.88 is: 2,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.72 : 6,831 = 1,920.88 : x
  2. Step 2: Convert to fraction form
    4,552.72/6,831 = 1,920.88/x
  3. Step 3: Cross multiply
    4,552.72x = 6,831 × 1,920.88
  4. Step 4: Simplify right side
    4,552.72x = 13,121,531.28
  5. Step 5: Solve for x
    x = 13,121,531.28/4,552.72
  6. Step 6: Final answer
    x = 2,882.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.