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Finding the Fourth Proportional to 2,091.42, 3,136.98 and 858.78

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Solution

The fourth proportional to 2,091.42, 3,136.98 and 858.78 is: 1,288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.42 : 3,136.98 = 858.78 : x
  2. Step 2: Convert to fraction form
    2,091.42/3,136.98 = 858.78/x
  3. Step 3: Cross multiply
    2,091.42x = 3,136.98 × 858.78
  4. Step 4: Simplify right side
    2,091.42x = 2,693,975.68
  5. Step 5: Solve for x
    x = 2,693,975.68/2,091.42
  6. Step 6: Final answer
    x = 1,288.11

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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.