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Finding the Fourth Proportional to 3,411, 5,121.20 and 2,442.60

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Solution

The fourth proportional to 3,411, 5,121.20 and 2,442.60 is: 3,667.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411 : 5,121.20 = 2,442.60 : x
  2. Step 2: Convert to fraction form
    3,411/5,121.20 = 2,442.60/x
  3. Step 3: Cross multiply
    3,411x = 5,121.20 × 2,442.60
  4. Step 4: Simplify right side
    3,411x = 12,509,043.12
  5. Step 5: Solve for x
    x = 12,509,043.12/3,411
  6. Step 6: Final answer
    x = 3,667.27

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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.