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Finding the Fourth Proportional to 6,138.78, 9,209.68 and 1,979.20

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Solution

The fourth proportional to 6,138.78, 9,209.68 and 1,979.20 is: 2,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.78 : 9,209.68 = 1,979.20 : x
  2. Step 2: Convert to fraction form
    6,138.78/9,209.68 = 1,979.20/x
  3. Step 3: Cross multiply
    6,138.78x = 9,209.68 × 1,979.20
  4. Step 4: Simplify right side
    6,138.78x = 18,227,798.66
  5. Step 5: Solve for x
    x = 18,227,798.66/6,138.78
  6. Step 6: Final answer
    x = 2,969.29

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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.