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Finding the Fourth Proportional to 12,098.67, 16,691.40 and 6,990.81

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Solution

The fourth proportional to 12,098.67, 16,691.40 and 6,990.81 is: 9,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.67 : 16,691.40 = 6,990.81 : x
  2. Step 2: Convert to fraction form
    12,098.67/16,691.40 = 6,990.81/x
  3. Step 3: Cross multiply
    12,098.67x = 16,691.40 × 6,990.81
  4. Step 4: Simplify right side
    12,098.67x = 116,686,406.03
  5. Step 5: Solve for x
    x = 116,686,406.03/12,098.67
  6. Step 6: Final answer
    x = 9,644.56

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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.