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Finding the Fourth Proportional to 16,990, 23,447.40 and 9,538

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Solution

The fourth proportional to 16,990, 23,447.40 and 9,538 is: 13,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,990 : 23,447.40 = 9,538 : x
  2. Step 2: Convert to fraction form
    16,990/23,447.40 = 9,538/x
  3. Step 3: Cross multiply
    16,990x = 23,447.40 × 9,538
  4. Step 4: Simplify right side
    16,990x = 223,641,301.20
  5. Step 5: Solve for x
    x = 223,641,301.20/16,990
  6. Step 6: Final answer
    x = 13,163.11

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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.