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Finding the Fourth Proportional to 2,185.18, 3,278.10 and 724

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Solution

The fourth proportional to 2,185.18, 3,278.10 and 724 is: 1,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.18 : 3,278.10 = 724 : x
  2. Step 2: Convert to fraction form
    2,185.18/3,278.10 = 724/x
  3. Step 3: Cross multiply
    2,185.18x = 3,278.10 × 724
  4. Step 4: Simplify right side
    2,185.18x = 2,373,344.40
  5. Step 5: Solve for x
    x = 2,373,344.40/2,185.18
  6. Step 6: Final answer
    x = 1,086.11

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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.