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Finding the Fourth Proportional to 19,204.56, 28,788.16 and 11,811.16

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Solution

The fourth proportional to 19,204.56, 28,788.16 and 11,811.16 is: 17,705.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,204.56 : 28,788.16 = 11,811.16 : x
  2. Step 2: Convert to fraction form
    19,204.56/28,788.16 = 11,811.16/x
  3. Step 3: Cross multiply
    19,204.56x = 28,788.16 × 11,811.16
  4. Step 4: Simplify right side
    19,204.56x = 340,021,563.87
  5. Step 5: Solve for x
    x = 340,021,563.87/19,204.56
  6. Step 6: Final answer
    x = 17,705.25

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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.