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Finding the Fourth Proportional to 2,611.92, 3,603 and 1,563.60

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Solution

The fourth proportional to 2,611.92, 3,603 and 1,563.60 is: 2,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.92 : 3,603 = 1,563.60 : x
  2. Step 2: Convert to fraction form
    2,611.92/3,603 = 1,563.60/x
  3. Step 3: Cross multiply
    2,611.92x = 3,603 × 1,563.60
  4. Step 4: Simplify right side
    2,611.92x = 5,633,650.80
  5. Step 5: Solve for x
    x = 5,633,650.80/2,611.92
  6. Step 6: Final answer
    x = 2,156.90

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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.