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Finding the Fourth Proportional to 12,835.20, 19,231.20 and 12,057.60

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Solution

The fourth proportional to 12,835.20, 19,231.20 and 12,057.60 is: 18,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.20 : 19,231.20 = 12,057.60 : x
  2. Step 2: Convert to fraction form
    12,835.20/19,231.20 = 12,057.60/x
  3. Step 3: Cross multiply
    12,835.20x = 19,231.20 × 12,057.60
  4. Step 4: Simplify right side
    12,835.20x = 231,882,117.12
  5. Step 5: Solve for x
    x = 231,882,117.12/12,835.20
  6. Step 6: Final answer
    x = 18,066.11

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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.