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Finding the Fourth Proportional to 3,898, 5,378.43 and 2,639.26

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Solution

The fourth proportional to 3,898, 5,378.43 and 2,639.26 is: 3,641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898 : 5,378.43 = 2,639.26 : x
  2. Step 2: Convert to fraction form
    3,898/5,378.43 = 2,639.26/x
  3. Step 3: Cross multiply
    3,898x = 5,378.43 × 2,639.26
  4. Step 4: Simplify right side
    3,898x = 14,195,075.16
  5. Step 5: Solve for x
    x = 14,195,075.16/3,898
  6. Step 6: Final answer
    x = 3,641.63

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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.