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Finding the Fourth Proportional to 10,188.56, 14,067.16 and 6,836.40

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Solution

The fourth proportional to 10,188.56, 14,067.16 and 6,836.40 is: 9,438.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.56 : 14,067.16 = 6,836.40 : x
  2. Step 2: Convert to fraction form
    10,188.56/14,067.16 = 6,836.40/x
  3. Step 3: Cross multiply
    10,188.56x = 14,067.16 × 6,836.40
  4. Step 4: Simplify right side
    10,188.56x = 96,168,732.62
  5. Step 5: Solve for x
    x = 96,168,732.62/10,188.56
  6. Step 6: Final answer
    x = 9,438.89

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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.