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Finding the Fourth Proportional to 13,093.80, 19,608.30 and 8,406.60

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Solution

The fourth proportional to 13,093.80, 19,608.30 and 8,406.60 is: 12,589.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.80 : 19,608.30 = 8,406.60 : x
  2. Step 2: Convert to fraction form
    13,093.80/19,608.30 = 8,406.60/x
  3. Step 3: Cross multiply
    13,093.80x = 19,608.30 × 8,406.60
  4. Step 4: Simplify right side
    13,093.80x = 164,839,134.78
  5. Step 5: Solve for x
    x = 164,839,134.78/13,093.80
  6. Step 6: Final answer
    x = 12,589.10

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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.