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Finding the Fourth Proportional to 2,136.63, 3,206.46 and 838.10

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Solution

The fourth proportional to 2,136.63, 3,206.46 and 838.10 is: 1,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.63 : 3,206.46 = 838.10 : x
  2. Step 2: Convert to fraction form
    2,136.63/3,206.46 = 838.10/x
  3. Step 3: Cross multiply
    2,136.63x = 3,206.46 × 838.10
  4. Step 4: Simplify right side
    2,136.63x = 2,687,316.00
  5. Step 5: Solve for x
    x = 2,687,316.00/2,136.63
  6. Step 6: Final answer
    x = 1,257.74

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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.