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Finding the Fourth Proportional to 12,200.83, 16,836.93 and 6,895.54

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Solution

The fourth proportional to 12,200.83, 16,836.93 and 6,895.54 is: 9,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,200.83 : 16,836.93 = 6,895.54 : x
  2. Step 2: Convert to fraction form
    12,200.83/16,836.93 = 6,895.54/x
  3. Step 3: Cross multiply
    12,200.83x = 16,836.93 × 6,895.54
  4. Step 4: Simplify right side
    12,200.83x = 116,099,724.29
  5. Step 5: Solve for x
    x = 116,099,724.29/12,200.83
  6. Step 6: Final answer
    x = 9,515.72

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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.