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Finding the Fourth Proportional to 21,963.78, 30,310.01 and 11,892.20

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Solution

The fourth proportional to 21,963.78, 30,310.01 and 11,892.20 is: 16,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963.78 : 30,310.01 = 11,892.20 : x
  2. Step 2: Convert to fraction form
    21,963.78/30,310.01 = 11,892.20/x
  3. Step 3: Cross multiply
    21,963.78x = 30,310.01 × 11,892.20
  4. Step 4: Simplify right side
    21,963.78x = 360,452,489.91
  5. Step 5: Solve for x
    x = 360,452,489.91/21,963.78
  6. Step 6: Final answer
    x = 16,411.22

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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.