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Finding the Fourth Proportional to 5,136.40, 7,685.40 and 3,408.40

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Solution

The fourth proportional to 5,136.40, 7,685.40 and 3,408.40 is: 5,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,136.40 : 7,685.40 = 3,408.40 : x
  2. Step 2: Convert to fraction form
    5,136.40/7,685.40 = 3,408.40/x
  3. Step 3: Cross multiply
    5,136.40x = 7,685.40 × 3,408.40
  4. Step 4: Simplify right side
    5,136.40x = 26,194,917.36
  5. Step 5: Solve for x
    x = 26,194,917.36/5,136.40
  6. Step 6: Final answer
    x = 5,099.86

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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.