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Finding the Fourth Proportional to 17,954, 26,935.36 and 5,642

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Solution

The fourth proportional to 17,954, 26,935.36 and 5,642 is: 8,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,954 : 26,935.36 = 5,642 : x
  2. Step 2: Convert to fraction form
    17,954/26,935.36 = 5,642/x
  3. Step 3: Cross multiply
    17,954x = 26,935.36 × 5,642
  4. Step 4: Simplify right side
    17,954x = 151,969,301.12
  5. Step 5: Solve for x
    x = 151,969,301.12/17,954
  6. Step 6: Final answer
    x = 8,464.37

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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.