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Finding the Fourth Proportional to 8,134.26, 12,201.40 and 1,978.26

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Solution

The fourth proportional to 8,134.26, 12,201.40 and 1,978.26 is: 2,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.26 : 12,201.40 = 1,978.26 : x
  2. Step 2: Convert to fraction form
    8,134.26/12,201.40 = 1,978.26/x
  3. Step 3: Cross multiply
    8,134.26x = 12,201.40 × 1,978.26
  4. Step 4: Simplify right side
    8,134.26x = 24,137,541.56
  5. Step 5: Solve for x
    x = 24,137,541.56/8,134.26
  6. Step 6: Final answer
    x = 2,967.39

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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.