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Finding the Fourth Proportional to 21,824.70, 30,122.01 and 12,871.68

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Solution

The fourth proportional to 21,824.70, 30,122.01 and 12,871.68 is: 17,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,824.70 : 30,122.01 = 12,871.68 : x
  2. Step 2: Convert to fraction form
    21,824.70/30,122.01 = 12,871.68/x
  3. Step 3: Cross multiply
    21,824.70x = 30,122.01 × 12,871.68
  4. Step 4: Simplify right side
    21,824.70x = 387,720,873.68
  5. Step 5: Solve for x
    x = 387,720,873.68/21,824.70
  6. Step 6: Final answer
    x = 17,765.23

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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.