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Finding the Fourth Proportional to 19,020.22, 28,509.84 and 7,923.94

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Solution

The fourth proportional to 19,020.22, 28,509.84 and 7,923.94 is: 11,877.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,020.22 : 28,509.84 = 7,923.94 : x
  2. Step 2: Convert to fraction form
    19,020.22/28,509.84 = 7,923.94/x
  3. Step 3: Cross multiply
    19,020.22x = 28,509.84 × 7,923.94
  4. Step 4: Simplify right side
    19,020.22x = 225,910,261.57
  5. Step 5: Solve for x
    x = 225,910,261.57/19,020.22
  6. Step 6: Final answer
    x = 11,877.37

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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.