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Finding the Fourth Proportional to 13,182.92, 19,778.93 and 8,246.67

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Solution

The fourth proportional to 13,182.92, 19,778.93 and 8,246.67 is: 12,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.92 : 19,778.93 = 8,246.67 : x
  2. Step 2: Convert to fraction form
    13,182.92/19,778.93 = 8,246.67/x
  3. Step 3: Cross multiply
    13,182.92x = 19,778.93 × 8,246.67
  4. Step 4: Simplify right side
    13,182.92x = 163,110,308.66
  5. Step 5: Solve for x
    x = 163,110,308.66/13,182.92
  6. Step 6: Final answer
    x = 12,372.85

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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.