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Finding the Fourth Proportional to 3,520.50, 5,276.96 and 2,288.80

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Solution

The fourth proportional to 3,520.50, 5,276.96 and 2,288.80 is: 3,430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,520.50 : 5,276.96 = 2,288.80 : x
  2. Step 2: Convert to fraction form
    3,520.50/5,276.96 = 2,288.80/x
  3. Step 3: Cross multiply
    3,520.50x = 5,276.96 × 2,288.80
  4. Step 4: Simplify right side
    3,520.50x = 12,077,868.22
  5. Step 5: Solve for x
    x = 12,077,868.22/3,520.50
  6. Step 6: Final answer
    x = 3,430.73

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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.