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Finding the Fourth Proportional to 19,270.88, 28,906.32 and 5,419.88

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Solution

The fourth proportional to 19,270.88, 28,906.32 and 5,419.88 is: 8,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,270.88 : 28,906.32 = 5,419.88 : x
  2. Step 2: Convert to fraction form
    19,270.88/28,906.32 = 5,419.88/x
  3. Step 3: Cross multiply
    19,270.88x = 28,906.32 × 5,419.88
  4. Step 4: Simplify right side
    19,270.88x = 156,668,641.11
  5. Step 5: Solve for x
    x = 156,668,641.11/19,270.88
  6. Step 6: Final answer
    x = 8,129.81

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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.