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Finding the Fourth Proportional to 21,820, 30,112.24 and 11,884.64

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Solution

The fourth proportional to 21,820, 30,112.24 and 11,884.64 is: 16,401.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,820 : 30,112.24 = 11,884.64 : x
  2. Step 2: Convert to fraction form
    21,820/30,112.24 = 11,884.64/x
  3. Step 3: Cross multiply
    21,820x = 30,112.24 × 11,884.64
  4. Step 4: Simplify right side
    21,820x = 357,873,131.99
  5. Step 5: Solve for x
    x = 357,873,131.99/21,820
  6. Step 6: Final answer
    x = 16,401.15

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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.