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Finding the Fourth Proportional to 21,976.20, 32,964.30 and 20,824.20

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Solution

The fourth proportional to 21,976.20, 32,964.30 and 20,824.20 is: 31,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.20 : 32,964.30 = 20,824.20 : x
  2. Step 2: Convert to fraction form
    21,976.20/32,964.30 = 20,824.20/x
  3. Step 3: Cross multiply
    21,976.20x = 32,964.30 × 20,824.20
  4. Step 4: Simplify right side
    21,976.20x = 686,455,176.06
  5. Step 5: Solve for x
    x = 686,455,176.06/21,976.20
  6. Step 6: Final answer
    x = 31,236.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.