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Finding the Fourth Proportional to 19,009, 28,525.02 and 8,065

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Solution

The fourth proportional to 19,009, 28,525.02 and 8,065 is: 12,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,009 : 28,525.02 = 8,065 : x
  2. Step 2: Convert to fraction form
    19,009/28,525.02 = 8,065/x
  3. Step 3: Cross multiply
    19,009x = 28,525.02 × 8,065
  4. Step 4: Simplify right side
    19,009x = 230,054,286.30
  5. Step 5: Solve for x
    x = 230,054,286.30/19,009
  6. Step 6: Final answer
    x = 12,102.39

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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.