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Finding the Fourth Proportional to 21,872.80, 32,809.20 and 12,509.20

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Solution

The fourth proportional to 21,872.80, 32,809.20 and 12,509.20 is: 18,763.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.80 : 32,809.20 = 12,509.20 : x
  2. Step 2: Convert to fraction form
    21,872.80/32,809.20 = 12,509.20/x
  3. Step 3: Cross multiply
    21,872.80x = 32,809.20 × 12,509.20
  4. Step 4: Simplify right side
    21,872.80x = 410,416,844.64
  5. Step 5: Solve for x
    x = 410,416,844.64/21,872.80
  6. Step 6: Final answer
    x = 18,763.80

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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.