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Finding the Fourth Proportional to 7,647,238.40, 11,477,078.40 and 7,398,406.40

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Solution

The fourth proportional to 7,647,238.40, 11,477,078.40 and 7,398,406.40 is: 11,103,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647,238.40 : 11,477,078.40 = 7,398,406.40 : x
  2. Step 2: Convert to fraction form
    7,647,238.40/11,477,078.40 = 7,398,406.40/x
  3. Step 3: Cross multiply
    7,647,238.40x = 11,477,078.40 × 7,398,406.40
  4. Step 4: Simplify right side
    7,647,238.40x = 84,912,090,287,861.77
  5. Step 5: Solve for x
    x = 84,912,090,287,861.77/7,647,238.40
  6. Step 6: Final answer
    x = 11,103,627.98

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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.