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Finding the Fourth Proportional to 5,129.29, 7,694.22 and 1,619.38

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Solution

The fourth proportional to 5,129.29, 7,694.22 and 1,619.38 is: 2,429.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.29 : 7,694.22 = 1,619.38 : x
  2. Step 2: Convert to fraction form
    5,129.29/7,694.22 = 1,619.38/x
  3. Step 3: Cross multiply
    5,129.29x = 7,694.22 × 1,619.38
  4. Step 4: Simplify right side
    5,129.29x = 12,459,865.98
  5. Step 5: Solve for x
    x = 12,459,865.98/5,129.29
  6. Step 6: Final answer
    x = 2,429.16

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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.