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Finding the Fourth Proportional to 2,234.84, 3,083.94 and 1,350.12

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Solution

The fourth proportional to 2,234.84, 3,083.94 and 1,350.12 is: 1,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.84 : 3,083.94 = 1,350.12 : x
  2. Step 2: Convert to fraction form
    2,234.84/3,083.94 = 1,350.12/x
  3. Step 3: Cross multiply
    2,234.84x = 3,083.94 × 1,350.12
  4. Step 4: Simplify right side
    2,234.84x = 4,163,689.07
  5. Step 5: Solve for x
    x = 4,163,689.07/2,234.84
  6. Step 6: Final answer
    x = 1,863.08

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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.