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Finding the Fourth Proportional to 6,649,311.15, 9,974,532.78 and 2,099,142.90

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Solution

The fourth proportional to 6,649,311.15, 9,974,532.78 and 2,099,142.90 is: 3,148,893.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649,311.15 : 9,974,532.78 = 2,099,142.90 : x
  2. Step 2: Convert to fraction form
    6,649,311.15/9,974,532.78 = 2,099,142.90/x
  3. Step 3: Cross multiply
    6,649,311.15x = 9,974,532.78 × 2,099,142.90
  4. Step 4: Simplify right side
    6,649,311.15x = 20,937,969,665,954.26
  5. Step 5: Solve for x
    x = 20,937,969,665,954.26/6,649,311.15
  6. Step 6: Final answer
    x = 3,148,893.05

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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.