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Finding the Fourth Proportional to 19,043.09, 28,583.09 and 9,189.29

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Solution

The fourth proportional to 19,043.09, 28,583.09 and 9,189.29 is: 13,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,043.09 : 28,583.09 = 9,189.29 : x
  2. Step 2: Convert to fraction form
    19,043.09/28,583.09 = 9,189.29/x
  3. Step 3: Cross multiply
    19,043.09x = 28,583.09 × 9,189.29
  4. Step 4: Simplify right side
    19,043.09x = 262,658,114.24
  5. Step 5: Solve for x
    x = 262,658,114.24/19,043.09
  6. Step 6: Final answer
    x = 13,792.83

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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.