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Finding the Fourth Proportional to 2,215.57, 3,323.67 and 754.96

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Solution

The fourth proportional to 2,215.57, 3,323.67 and 754.96 is: 1,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,215.57 : 3,323.67 = 754.96 : x
  2. Step 2: Convert to fraction form
    2,215.57/3,323.67 = 754.96/x
  3. Step 3: Cross multiply
    2,215.57x = 3,323.67 × 754.96
  4. Step 4: Simplify right side
    2,215.57x = 2,509,237.90
  5. Step 5: Solve for x
    x = 2,509,237.90/2,215.57
  6. Step 6: Final answer
    x = 1,132.55

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1.5x scale

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.