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Finding the Fourth Proportional to 12,491.92, 17,230.38 and 7,778.44

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Solution

The fourth proportional to 12,491.92, 17,230.38 and 7,778.44 is: 10,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,491.92 : 17,230.38 = 7,778.44 : x
  2. Step 2: Convert to fraction form
    12,491.92/17,230.38 = 7,778.44/x
  3. Step 3: Cross multiply
    12,491.92x = 17,230.38 × 7,778.44
  4. Step 4: Simplify right side
    12,491.92x = 134,025,477.01
  5. Step 5: Solve for x
    x = 134,025,477.01/12,491.92
  6. Step 6: Final answer
    x = 10,728.97

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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.