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Finding the Fourth Proportional to 3,512.32, 4,846.98 and 2,253.38

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Solution

The fourth proportional to 3,512.32, 4,846.98 and 2,253.38 is: 3,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.32 : 4,846.98 = 2,253.38 : x
  2. Step 2: Convert to fraction form
    3,512.32/4,846.98 = 2,253.38/x
  3. Step 3: Cross multiply
    3,512.32x = 4,846.98 × 2,253.38
  4. Step 4: Simplify right side
    3,512.32x = 10,922,087.79
  5. Step 5: Solve for x
    x = 10,922,087.79/3,512.32
  6. Step 6: Final answer
    x = 3,109.65

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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.