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Finding the Fourth Proportional to 2,136.39, 3,203.96 and 749.47

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Solution

The fourth proportional to 2,136.39, 3,203.96 and 749.47 is: 1,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.39 : 3,203.96 = 749.47 : x
  2. Step 2: Convert to fraction form
    2,136.39/3,203.96 = 749.47/x
  3. Step 3: Cross multiply
    2,136.39x = 3,203.96 × 749.47
  4. Step 4: Simplify right side
    2,136.39x = 2,401,266.15
  5. Step 5: Solve for x
    x = 2,401,266.15/2,136.39
  6. Step 6: Final answer
    x = 1,123.98

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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.