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Finding the Fourth Proportional to 30,381.64, 41,921.64 and 20,293.90

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Solution

The fourth proportional to 30,381.64, 41,921.64 and 20,293.90 is: 28,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381.64 : 41,921.64 = 20,293.90 : x
  2. Step 2: Convert to fraction form
    30,381.64/41,921.64 = 20,293.90/x
  3. Step 3: Cross multiply
    30,381.64x = 41,921.64 × 20,293.90
  4. Step 4: Simplify right side
    30,381.64x = 850,753,570.00
  5. Step 5: Solve for x
    x = 850,753,570.00/30,381.64
  6. Step 6: Final answer
    x = 28,002.23

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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.