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Finding the Fourth Proportional to 2,350.26, 3,525.72 and 963.80

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Solution

The fourth proportional to 2,350.26, 3,525.72 and 963.80 is: 1,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.26 : 3,525.72 = 963.80 : x
  2. Step 2: Convert to fraction form
    2,350.26/3,525.72 = 963.80/x
  3. Step 3: Cross multiply
    2,350.26x = 3,525.72 × 963.80
  4. Step 4: Simplify right side
    2,350.26x = 3,398,088.94
  5. Step 5: Solve for x
    x = 3,398,088.94/2,350.26
  6. Step 6: Final answer
    x = 1,445.84

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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.