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Finding the Fourth Proportional to 7,978,200.40, 11,949,585.90 and 6,561,024.40

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Solution

The fourth proportional to 7,978,200.40, 11,949,585.90 and 6,561,024.40 is: 9,826,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978,200.40 : 11,949,585.90 = 6,561,024.40 : x
  2. Step 2: Convert to fraction form
    7,978,200.40/11,949,585.90 = 6,561,024.40/x
  3. Step 3: Cross multiply
    7,978,200.40x = 11,949,585.90 × 6,561,024.40
  4. Step 4: Simplify right side
    7,978,200.40x = 78,401,524,659,795.97
  5. Step 5: Solve for x
    x = 78,401,524,659,795.97/7,978,200.40
  6. Step 6: Final answer
    x = 9,826,968.58

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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.