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Finding the Fourth Proportional to 2,136.84, 2,950.20 and 1,744.80

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Solution

The fourth proportional to 2,136.84, 2,950.20 and 1,744.80 is: 2,408.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.84 : 2,950.20 = 1,744.80 : x
  2. Step 2: Convert to fraction form
    2,136.84/2,950.20 = 1,744.80/x
  3. Step 3: Cross multiply
    2,136.84x = 2,950.20 × 1,744.80
  4. Step 4: Simplify right side
    2,136.84x = 5,147,508.96
  5. Step 5: Solve for x
    x = 5,147,508.96/2,136.84
  6. Step 6: Final answer
    x = 2,408.94

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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.