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Finding the Fourth Proportional to 14,002.32, 20,991.40 and 6,601.60

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Solution

The fourth proportional to 14,002.32, 20,991.40 and 6,601.60 is: 9,896.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.32 : 20,991.40 = 6,601.60 : x
  2. Step 2: Convert to fraction form
    14,002.32/20,991.40 = 6,601.60/x
  3. Step 3: Cross multiply
    14,002.32x = 20,991.40 × 6,601.60
  4. Step 4: Simplify right side
    14,002.32x = 138,576,873.11
  5. Step 5: Solve for x
    x = 138,576,873.11/14,002.32
  6. Step 6: Final answer
    x = 9,896.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.