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Finding the Fourth Proportional to 2,089.91, 3,136.39 and 994.28

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Solution

The fourth proportional to 2,089.91, 3,136.39 and 994.28 is: 1,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.91 : 3,136.39 = 994.28 : x
  2. Step 2: Convert to fraction form
    2,089.91/3,136.39 = 994.28/x
  3. Step 3: Cross multiply
    2,089.91x = 3,136.39 × 994.28
  4. Step 4: Simplify right side
    2,089.91x = 3,118,431.68
  5. Step 5: Solve for x
    x = 3,118,431.68/2,089.91
  6. Step 6: Final answer
    x = 1,492.14

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Double scale
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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.