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Finding the Fourth Proportional to 8,138, 11,232.12 and 4,601.36

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Solution

The fourth proportional to 8,138, 11,232.12 and 4,601.36 is: 6,350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138 : 11,232.12 = 4,601.36 : x
  2. Step 2: Convert to fraction form
    8,138/11,232.12 = 4,601.36/x
  3. Step 3: Cross multiply
    8,138x = 11,232.12 × 4,601.36
  4. Step 4: Simplify right side
    8,138x = 51,683,027.68
  5. Step 5: Solve for x
    x = 51,683,027.68/8,138
  6. Step 6: Final answer
    x = 6,350.83

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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.