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Finding the Fourth Proportional to 13,168.96, 19,739.72 and 8,428.46

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Solution

The fourth proportional to 13,168.96, 19,739.72 and 8,428.46 is: 12,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168.96 : 19,739.72 = 8,428.46 : x
  2. Step 2: Convert to fraction form
    13,168.96/19,739.72 = 8,428.46/x
  3. Step 3: Cross multiply
    13,168.96x = 19,739.72 × 8,428.46
  4. Step 4: Simplify right side
    13,168.96x = 166,375,362.80
  5. Step 5: Solve for x
    x = 166,375,362.80/13,168.96
  6. Step 6: Final answer
    x = 12,633.91

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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.