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Finding the Fourth Proportional to 3,280, 4,525.98 and 1,863.84

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Solution

The fourth proportional to 3,280, 4,525.98 and 1,863.84 is: 2,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,280 : 4,525.98 = 1,863.84 : x
  2. Step 2: Convert to fraction form
    3,280/4,525.98 = 1,863.84/x
  3. Step 3: Cross multiply
    3,280x = 4,525.98 × 1,863.84
  4. Step 4: Simplify right side
    3,280x = 8,435,702.56
  5. Step 5: Solve for x
    x = 8,435,702.56/3,280
  6. Step 6: Final answer
    x = 2,571.86

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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.