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Finding the Fourth Proportional to 3,392.80, 5,089.20 and 1,201.75

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Solution

The fourth proportional to 3,392.80, 5,089.20 and 1,201.75 is: 1,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.80 : 5,089.20 = 1,201.75 : x
  2. Step 2: Convert to fraction form
    3,392.80/5,089.20 = 1,201.75/x
  3. Step 3: Cross multiply
    3,392.80x = 5,089.20 × 1,201.75
  4. Step 4: Simplify right side
    3,392.80x = 6,115,946.10
  5. Step 5: Solve for x
    x = 6,115,946.10/3,392.80
  6. Step 6: Final answer
    x = 1,802.63

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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.