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Finding the Fourth Proportional to 29,991.40, 41,415.78 and 20,084.20

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Solution

The fourth proportional to 29,991.40, 41,415.78 and 20,084.20 is: 27,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,991.40 : 41,415.78 = 20,084.20 : x
  2. Step 2: Convert to fraction form
    29,991.40/41,415.78 = 20,084.20/x
  3. Step 3: Cross multiply
    29,991.40x = 41,415.78 × 20,084.20
  4. Step 4: Simplify right side
    29,991.40x = 831,802,808.68
  5. Step 5: Solve for x
    x = 831,802,808.68/29,991.40
  6. Step 6: Final answer
    x = 27,734.71

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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.