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Finding the Fourth Proportional to 12,206.30, 16,842.21 and 7,171.34

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Solution

The fourth proportional to 12,206.30, 16,842.21 and 7,171.34 is: 9,894.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.30 : 16,842.21 = 7,171.34 : x
  2. Step 2: Convert to fraction form
    12,206.30/16,842.21 = 7,171.34/x
  3. Step 3: Cross multiply
    12,206.30x = 16,842.21 × 7,171.34
  4. Step 4: Simplify right side
    12,206.30x = 120,781,214.26
  5. Step 5: Solve for x
    x = 120,781,214.26/12,206.30
  6. Step 6: Final answer
    x = 9,894.99

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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.