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Finding the Fourth Proportional to 6,138.68, 9,209.22 and 2,442.64

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Solution

The fourth proportional to 6,138.68, 9,209.22 and 2,442.64 is: 3,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.68 : 9,209.22 = 2,442.64 : x
  2. Step 2: Convert to fraction form
    6,138.68/9,209.22 = 2,442.64/x
  3. Step 3: Cross multiply
    6,138.68x = 9,209.22 × 2,442.64
  4. Step 4: Simplify right side
    6,138.68x = 22,494,809.14
  5. Step 5: Solve for x
    x = 22,494,809.14/6,138.68
  6. Step 6: Final answer
    x = 3,664.44

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1.5x scale

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.