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Finding the Fourth Proportional to 13,690.36, 18,892.66 and 7,722

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Solution

The fourth proportional to 13,690.36, 18,892.66 and 7,722 is: 10,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,690.36 : 18,892.66 = 7,722 : x
  2. Step 2: Convert to fraction form
    13,690.36/18,892.66 = 7,722/x
  3. Step 3: Cross multiply
    13,690.36x = 18,892.66 × 7,722
  4. Step 4: Simplify right side
    13,690.36x = 145,889,120.52
  5. Step 5: Solve for x
    x = 145,889,120.52/13,690.36
  6. Step 6: Final answer
    x = 10,656.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.