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Finding the Fourth Proportional to 7,872,814.80, 11,809,222.20 and 2,823,469.20

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Solution

The fourth proportional to 7,872,814.80, 11,809,222.20 and 2,823,469.20 is: 4,235,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,814.80 : 11,809,222.20 = 2,823,469.20 : x
  2. Step 2: Convert to fraction form
    7,872,814.80/11,809,222.20 = 2,823,469.20/x
  3. Step 3: Cross multiply
    7,872,814.80x = 11,809,222.20 × 2,823,469.20
  4. Step 4: Simplify right side
    7,872,814.80x = 33,342,975,157,656.24
  5. Step 5: Solve for x
    x = 33,342,975,157,656.24/7,872,814.80
  6. Step 6: Final answer
    x = 4,235,203.80

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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.