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Finding the Fourth Proportional to 12,821.60, 19,246.80 and 9,912.80

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Solution

The fourth proportional to 12,821.60, 19,246.80 and 9,912.80 is: 14,880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,821.60 : 19,246.80 = 9,912.80 : x
  2. Step 2: Convert to fraction form
    12,821.60/19,246.80 = 9,912.80/x
  3. Step 3: Cross multiply
    12,821.60x = 19,246.80 × 9,912.80
  4. Step 4: Simplify right side
    12,821.60x = 190,789,679.04
  5. Step 5: Solve for x
    x = 190,789,679.04/12,821.60
  6. Step 6: Final answer
    x = 14,880.33

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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.