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Finding the Fourth Proportional to 3,594.42, 5,389.20 and 1,949.40

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Solution

The fourth proportional to 3,594.42, 5,389.20 and 1,949.40 is: 2,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.42 : 5,389.20 = 1,949.40 : x
  2. Step 2: Convert to fraction form
    3,594.42/5,389.20 = 1,949.40/x
  3. Step 3: Cross multiply
    3,594.42x = 5,389.20 × 1,949.40
  4. Step 4: Simplify right side
    3,594.42x = 10,505,706.48
  5. Step 5: Solve for x
    x = 10,505,706.48/3,594.42
  6. Step 6: Final answer
    x = 2,922.78

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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.