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Finding the Fourth Proportional to 2,162.44, 3,243.66 and 518.99

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Solution

The fourth proportional to 2,162.44, 3,243.66 and 518.99 is: 778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.44 : 3,243.66 = 518.99 : x
  2. Step 2: Convert to fraction form
    2,162.44/3,243.66 = 518.99/x
  3. Step 3: Cross multiply
    2,162.44x = 3,243.66 × 518.99
  4. Step 4: Simplify right side
    2,162.44x = 1,683,411.22
  5. Step 5: Solve for x
    x = 1,683,411.22/2,162.44
  6. Step 6: Final answer
    x = 778.48

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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.