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Finding the Fourth Proportional to 19,105.70, 28,653 and 8,012.08

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Solution

The fourth proportional to 19,105.70, 28,653 and 8,012.08 is: 12,015.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,105.70 : 28,653 = 8,012.08 : x
  2. Step 2: Convert to fraction form
    19,105.70/28,653 = 8,012.08/x
  3. Step 3: Cross multiply
    19,105.70x = 28,653 × 8,012.08
  4. Step 4: Simplify right side
    19,105.70x = 229,570,128.24
  5. Step 5: Solve for x
    x = 229,570,128.24/19,105.70
  6. Step 6: Final answer
    x = 12,015.79

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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.