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Finding the Fourth Proportional to 2,181.54, 3,272.31 and 720.81

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Solution

The fourth proportional to 2,181.54, 3,272.31 and 720.81 is: 1,081.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,181.54 : 3,272.31 = 720.81 : x
  2. Step 2: Convert to fraction form
    2,181.54/3,272.31 = 720.81/x
  3. Step 3: Cross multiply
    2,181.54x = 3,272.31 × 720.81
  4. Step 4: Simplify right side
    2,181.54x = 2,358,701.50
  5. Step 5: Solve for x
    x = 2,358,701.50/2,181.54
  6. Step 6: Final answer
    x = 1,081.21

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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.