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Finding the Fourth Proportional to 12,491.92, 17,246.82 and 7,783.12

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Solution

The fourth proportional to 12,491.92, 17,246.82 and 7,783.12 is: 10,745.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.92 : 17,246.82 = 7,783.12 : x
  2. Step 2: Convert to fraction form
    12,491.92/17,246.82 = 7,783.12/x
  3. Step 3: Cross multiply
    12,491.92x = 17,246.82 × 7,783.12
  4. Step 4: Simplify right side
    12,491.92x = 134,234,069.68
  5. Step 5: Solve for x
    x = 134,234,069.68/12,491.92
  6. Step 6: Final answer
    x = 10,745.67

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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.