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Finding the Fourth Proportional to 13,161.56, 19,721.81 and 8,216.24

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Solution

The fourth proportional to 13,161.56, 19,721.81 and 8,216.24 is: 12,311.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.56 : 19,721.81 = 8,216.24 : x
  2. Step 2: Convert to fraction form
    13,161.56/19,721.81 = 8,216.24/x
  3. Step 3: Cross multiply
    13,161.56x = 19,721.81 × 8,216.24
  4. Step 4: Simplify right side
    13,161.56x = 162,039,046.13
  5. Step 5: Solve for x
    x = 162,039,046.13/13,161.56
  6. Step 6: Final answer
    x = 12,311.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.