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Finding the Fourth Proportional to 17,961.30, 26,943.77 and 4,815

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Solution

The fourth proportional to 17,961.30, 26,943.77 and 4,815 is: 7,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961.30 : 26,943.77 = 4,815 : x
  2. Step 2: Convert to fraction form
    17,961.30/26,943.77 = 4,815/x
  3. Step 3: Cross multiply
    17,961.30x = 26,943.77 × 4,815
  4. Step 4: Simplify right side
    17,961.30x = 129,734,252.55
  5. Step 5: Solve for x
    x = 129,734,252.55/17,961.30
  6. Step 6: Final answer
    x = 7,222.99

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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.