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Finding the Fourth Proportional to 3,392.85, 5,089.28 and 1,201.80

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Solution

The fourth proportional to 3,392.85, 5,089.28 and 1,201.80 is: 1,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.85 : 5,089.28 = 1,201.80 : x
  2. Step 2: Convert to fraction form
    3,392.85/5,089.28 = 1,201.80/x
  3. Step 3: Cross multiply
    3,392.85x = 5,089.28 × 1,201.80
  4. Step 4: Simplify right side
    3,392.85x = 6,116,290.70
  5. Step 5: Solve for x
    x = 6,116,290.70/3,392.85
  6. Step 6: Final answer
    x = 1,802.70

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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.