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Finding the Fourth Proportional to 2,350.75, 3,527.34 and 1,196.50

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Solution

The fourth proportional to 2,350.75, 3,527.34 and 1,196.50 is: 1,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.75 : 3,527.34 = 1,196.50 : x
  2. Step 2: Convert to fraction form
    2,350.75/3,527.34 = 1,196.50/x
  3. Step 3: Cross multiply
    2,350.75x = 3,527.34 × 1,196.50
  4. Step 4: Simplify right side
    2,350.75x = 4,220,462.31
  5. Step 5: Solve for x
    x = 4,220,462.31/2,350.75
  6. Step 6: Final answer
    x = 1,795.37

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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.