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Finding the Fourth Proportional to 16,971.83, 23,421.14 and 9,418.27

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Solution

The fourth proportional to 16,971.83, 23,421.14 and 9,418.27 is: 12,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.83 : 23,421.14 = 9,418.27 : x
  2. Step 2: Convert to fraction form
    16,971.83/23,421.14 = 9,418.27/x
  3. Step 3: Cross multiply
    16,971.83x = 23,421.14 × 9,418.27
  4. Step 4: Simplify right side
    16,971.83x = 220,586,620.23
  5. Step 5: Solve for x
    x = 220,586,620.23/16,971.83
  6. Step 6: Final answer
    x = 12,997.22

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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.