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Finding the Fourth Proportional to 7,766,171.34, 11,648,469.69 and 2,085,657.54

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Solution

The fourth proportional to 7,766,171.34, 11,648,469.69 and 2,085,657.54 is: 3,128,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766,171.34 : 11,648,469.69 = 2,085,657.54 : x
  2. Step 2: Convert to fraction form
    7,766,171.34/11,648,469.69 = 2,085,657.54/x
  3. Step 3: Cross multiply
    7,766,171.34x = 11,648,469.69 × 2,085,657.54
  4. Step 4: Simplify right side
    7,766,171.34x = 24,294,718,638,409.96
  5. Step 5: Solve for x
    x = 24,294,718,638,409.96/7,766,171.34
  6. Step 6: Final answer
    x = 3,128,274.87

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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.