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Finding the Fourth Proportional to 21,980.80, 32,964.80 and 7,939.20

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Solution

The fourth proportional to 21,980.80, 32,964.80 and 7,939.20 is: 11,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.80 : 32,964.80 = 7,939.20 : x
  2. Step 2: Convert to fraction form
    21,980.80/32,964.80 = 7,939.20/x
  3. Step 3: Cross multiply
    21,980.80x = 32,964.80 × 7,939.20
  4. Step 4: Simplify right side
    21,980.80x = 261,714,140.16
  5. Step 5: Solve for x
    x = 261,714,140.16/21,980.80
  6. Step 6: Final answer
    x = 11,906.49

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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.