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Finding the Fourth Proportional to 2,185.96, 3,278.88 and 726.16

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Solution

The fourth proportional to 2,185.96, 3,278.88 and 726.16 is: 1,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.96 : 3,278.88 = 726.16 : x
  2. Step 2: Convert to fraction form
    2,185.96/3,278.88 = 726.16/x
  3. Step 3: Cross multiply
    2,185.96x = 3,278.88 × 726.16
  4. Step 4: Simplify right side
    2,185.96x = 2,380,991.50
  5. Step 5: Solve for x
    x = 2,380,991.50/2,185.96
  6. Step 6: Final answer
    x = 1,089.22

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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.