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Finding the Fourth Proportional to 6,138.38, 9,207.90 and 1,978.09

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Solution

The fourth proportional to 6,138.38, 9,207.90 and 1,978.09 is: 2,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.38 : 9,207.90 = 1,978.09 : x
  2. Step 2: Convert to fraction form
    6,138.38/9,207.90 = 1,978.09/x
  3. Step 3: Cross multiply
    6,138.38x = 9,207.90 × 1,978.09
  4. Step 4: Simplify right side
    6,138.38x = 18,214,054.91
  5. Step 5: Solve for x
    x = 18,214,054.91/6,138.38
  6. Step 6: Final answer
    x = 2,967.24

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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.