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Finding the Fourth Proportional to 12,197.12, 16,832.34 and 6,891.82

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Solution

The fourth proportional to 12,197.12, 16,832.34 and 6,891.82 is: 9,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.12 : 16,832.34 = 6,891.82 : x
  2. Step 2: Convert to fraction form
    12,197.12/16,832.34 = 6,891.82/x
  3. Step 3: Cross multiply
    12,197.12x = 16,832.34 × 6,891.82
  4. Step 4: Simplify right side
    12,197.12x = 116,005,457.46
  5. Step 5: Solve for x
    x = 116,005,457.46/12,197.12
  6. Step 6: Final answer
    x = 9,510.89

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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.