Home / 1,396.35-2,094.18-409.14

Finding the Fourth Proportional to 1,396.35, 2,094.18 and 409.14

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Solution

The fourth proportional to 1,396.35, 2,094.18 and 409.14 is: 613.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.35 : 2,094.18 = 409.14 : x
  2. Step 2: Convert to fraction form
    1,396.35/2,094.18 = 409.14/x
  3. Step 3: Cross multiply
    1,396.35x = 2,094.18 × 409.14
  4. Step 4: Simplify right side
    1,396.35x = 856,812.81
  5. Step 5: Solve for x
    x = 856,812.81/1,396.35
  6. Step 6: Final answer
    x = 613.61

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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.