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Finding the Fourth Proportional to 10,425.10, 15,640.19 and 3,029.38

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Solution

The fourth proportional to 10,425.10, 15,640.19 and 3,029.38 is: 4,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.10 : 15,640.19 = 3,029.38 : x
  2. Step 2: Convert to fraction form
    10,425.10/15,640.19 = 3,029.38/x
  3. Step 3: Cross multiply
    10,425.10x = 15,640.19 × 3,029.38
  4. Step 4: Simplify right side
    10,425.10x = 47,380,078.78
  5. Step 5: Solve for x
    x = 47,380,078.78/10,425.10
  6. Step 6: Final answer
    x = 4,544.81

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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.