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Finding the Fourth Proportional to 17,978.16, 26,943.96 and 12,422.64

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Solution

The fourth proportional to 17,978.16, 26,943.96 and 12,422.64 is: 18,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978.16 : 26,943.96 = 12,422.64 : x
  2. Step 2: Convert to fraction form
    17,978.16/26,943.96 = 12,422.64/x
  3. Step 3: Cross multiply
    17,978.16x = 26,943.96 × 12,422.64
  4. Step 4: Simplify right side
    17,978.16x = 334,715,115.25
  5. Step 5: Solve for x
    x = 334,715,115.25/17,978.16
  6. Step 6: Final answer
    x = 18,617.87

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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.