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Finding the Fourth Proportional to 11,102.60, 16,675.08 and 6,431.98

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Solution

The fourth proportional to 11,102.60, 16,675.08 and 6,431.98 is: 9,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.60 : 16,675.08 = 6,431.98 : x
  2. Step 2: Convert to fraction form
    11,102.60/16,675.08 = 6,431.98/x
  3. Step 3: Cross multiply
    11,102.60x = 16,675.08 × 6,431.98
  4. Step 4: Simplify right side
    11,102.60x = 107,253,781.06
  5. Step 5: Solve for x
    x = 107,253,781.06/11,102.60
  6. Step 6: Final answer
    x = 9,660.24

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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.