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Finding the Fourth Proportional to 11,861.73, 16,368.75 and 6,826.74

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Solution

The fourth proportional to 11,861.73, 16,368.75 and 6,826.74 is: 9,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.73 : 16,368.75 = 6,826.74 : x
  2. Step 2: Convert to fraction form
    11,861.73/16,368.75 = 6,826.74/x
  3. Step 3: Cross multiply
    11,861.73x = 16,368.75 × 6,826.74
  4. Step 4: Simplify right side
    11,861.73x = 111,745,200.38
  5. Step 5: Solve for x
    x = 111,745,200.38/11,861.73
  6. Step 6: Final answer
    x = 9,420.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.