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Finding the Fourth Proportional to 13,471,293.70, 20,206,940.55 and 7,788,592.90

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Solution

The fourth proportional to 13,471,293.70, 20,206,940.55 and 7,788,592.90 is: 11,682,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471,293.70 : 20,206,940.55 = 7,788,592.90 : x
  2. Step 2: Convert to fraction form
    13,471,293.70/20,206,940.55 = 7,788,592.90/x
  3. Step 3: Cross multiply
    13,471,293.70x = 20,206,940.55 × 7,788,592.90
  4. Step 4: Simplify right side
    13,471,293.70x = 157,383,633,698,452.09
  5. Step 5: Solve for x
    x = 157,383,633,698,452.09/13,471,293.70
  6. Step 6: Final answer
    x = 11,682,889.35

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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.