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Finding the Fourth Proportional to 19,993.01, 29,989.36 and 8,144.00

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Solution

The fourth proportional to 19,993.01, 29,989.36 and 8,144.00 is: 12,215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.01 : 29,989.36 = 8,144.00 : x
  2. Step 2: Convert to fraction form
    19,993.01/29,989.36 = 8,144.00/x
  3. Step 3: Cross multiply
    19,993.01x = 29,989.36 × 8,144.00
  4. Step 4: Simplify right side
    19,993.01x = 244,233,177.53
  5. Step 5: Solve for x
    x = 244,233,177.53/19,993.01
  6. Step 6: Final answer
    x = 12,215.93

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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.