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Finding the Fourth Proportional to 2,136.96, 3,201.90 and 1,313.49

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Solution

The fourth proportional to 2,136.96, 3,201.90 and 1,313.49 is: 1,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.96 : 3,201.90 = 1,313.49 : x
  2. Step 2: Convert to fraction form
    2,136.96/3,201.90 = 1,313.49/x
  3. Step 3: Cross multiply
    2,136.96x = 3,201.90 × 1,313.49
  4. Step 4: Simplify right side
    2,136.96x = 4,205,663.63
  5. Step 5: Solve for x
    x = 4,205,663.63/2,136.96
  6. Step 6: Final answer
    x = 1,968.06

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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.