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Finding the Fourth Proportional to 3,896.09, 5,844.57 and 1,430.91

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Solution

The fourth proportional to 3,896.09, 5,844.57 and 1,430.91 is: 2,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.09 : 5,844.57 = 1,430.91 : x
  2. Step 2: Convert to fraction form
    3,896.09/5,844.57 = 1,430.91/x
  3. Step 3: Cross multiply
    3,896.09x = 5,844.57 × 1,430.91
  4. Step 4: Simplify right side
    3,896.09x = 8,363,046.20
  5. Step 5: Solve for x
    x = 8,363,046.20/3,896.09
  6. Step 6: Final answer
    x = 2,146.52

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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.