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Finding the Fourth Proportional to 16,231.95, 22,399.43 and 9,859.23

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Solution

The fourth proportional to 16,231.95, 22,399.43 and 9,859.23 is: 13,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,231.95 : 22,399.43 = 9,859.23 : x
  2. Step 2: Convert to fraction form
    16,231.95/22,399.43 = 9,859.23/x
  3. Step 3: Cross multiply
    16,231.95x = 22,399.43 × 9,859.23
  4. Step 4: Simplify right side
    16,231.95x = 220,841,082.94
  5. Step 5: Solve for x
    x = 220,841,082.94/16,231.95
  6. Step 6: Final answer
    x = 13,605.33

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