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Finding the Fourth Proportional to 19,002.97, 28,509.68 and 7,914.85

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Solution

The fourth proportional to 19,002.97, 28,509.68 and 7,914.85 is: 11,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,002.97 : 28,509.68 = 7,914.85 : x
  2. Step 2: Convert to fraction form
    19,002.97/28,509.68 = 7,914.85/x
  3. Step 3: Cross multiply
    19,002.97x = 28,509.68 × 7,914.85
  4. Step 4: Simplify right side
    19,002.97x = 225,649,840.75
  5. Step 5: Solve for x
    x = 225,649,840.75/19,002.97
  6. Step 6: Final answer
    x = 11,874.45

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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.