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Finding the Fourth Proportional to 19,043.08, 28,563.54 and 5,191

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Solution

The fourth proportional to 19,043.08, 28,563.54 and 5,191 is: 7,786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,043.08 : 28,563.54 = 5,191 : x
  2. Step 2: Convert to fraction form
    19,043.08/28,563.54 = 5,191/x
  3. Step 3: Cross multiply
    19,043.08x = 28,563.54 × 5,191
  4. Step 4: Simplify right side
    19,043.08x = 148,273,336.14
  5. Step 5: Solve for x
    x = 148,273,336.14/19,043.08
  6. Step 6: Final answer
    x = 7,786.21

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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.