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Finding the Fourth Proportional to 2,632.76, 3,949.12 and 1,093.76

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Solution

The fourth proportional to 2,632.76, 3,949.12 and 1,093.76 is: 1,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.76 : 3,949.12 = 1,093.76 : x
  2. Step 2: Convert to fraction form
    2,632.76/3,949.12 = 1,093.76/x
  3. Step 3: Cross multiply
    2,632.76x = 3,949.12 × 1,093.76
  4. Step 4: Simplify right side
    2,632.76x = 4,319,389.49
  5. Step 5: Solve for x
    x = 4,319,389.49/2,632.76
  6. Step 6: Final answer
    x = 1,640.63

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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.