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Finding the Fourth Proportional to 20,736, 31,104 and 12,940.80

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Solution

The fourth proportional to 20,736, 31,104 and 12,940.80 is: 19,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,736 : 31,104 = 12,940.80 : x
  2. Step 2: Convert to fraction form
    20,736/31,104 = 12,940.80/x
  3. Step 3: Cross multiply
    20,736x = 31,104 × 12,940.80
  4. Step 4: Simplify right side
    20,736x = 402,510,643.20
  5. Step 5: Solve for x
    x = 402,510,643.20/20,736
  6. Step 6: Final answer
    x = 19,411.20

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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.