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Finding the Fourth Proportional to 2,998.49, 4,136.39 and 2,005.22

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Solution

The fourth proportional to 2,998.49, 4,136.39 and 2,005.22 is: 2,766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.49 : 4,136.39 = 2,005.22 : x
  2. Step 2: Convert to fraction form
    2,998.49/4,136.39 = 2,005.22/x
  3. Step 3: Cross multiply
    2,998.49x = 4,136.39 × 2,005.22
  4. Step 4: Simplify right side
    2,998.49x = 8,294,341.25
  5. Step 5: Solve for x
    x = 8,294,341.25/2,998.49
  6. Step 6: Final answer
    x = 2,766.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.