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Finding the Fourth Proportional to 19,993.81, 29,994.36 and 10,003.78

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Solution

The fourth proportional to 19,993.81, 29,994.36 and 10,003.78 is: 15,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993.81 : 29,994.36 = 10,003.78 : x
  2. Step 2: Convert to fraction form
    19,993.81/29,994.36 = 10,003.78/x
  3. Step 3: Cross multiply
    19,993.81x = 29,994.36 × 10,003.78
  4. Step 4: Simplify right side
    19,993.81x = 300,056,978.68
  5. Step 5: Solve for x
    x = 300,056,978.68/19,993.81
  6. Step 6: Final answer
    x = 15,007.49

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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.