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Finding the Fourth Proportional to 12,087.64, 16,676.67 and 7,898.32

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Solution

The fourth proportional to 12,087.64, 16,676.67 and 7,898.32 is: 10,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.64 : 16,676.67 = 7,898.32 : x
  2. Step 2: Convert to fraction form
    12,087.64/16,676.67 = 7,898.32/x
  3. Step 3: Cross multiply
    12,087.64x = 16,676.67 × 7,898.32
  4. Step 4: Simplify right side
    12,087.64x = 131,717,682.23
  5. Step 5: Solve for x
    x = 131,717,682.23/12,087.64
  6. Step 6: Final answer
    x = 10,896.89

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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.