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Finding the Fourth Proportional to 7,919.50, 11,879.16 and 7,438.36

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Solution

The fourth proportional to 7,919.50, 11,879.16 and 7,438.36 is: 11,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.50 : 11,879.16 = 7,438.36 : x
  2. Step 2: Convert to fraction form
    7,919.50/11,879.16 = 7,438.36/x
  3. Step 3: Cross multiply
    7,919.50x = 11,879.16 × 7,438.36
  4. Step 4: Simplify right side
    7,919.50x = 88,361,468.58
  5. Step 5: Solve for x
    x = 88,361,468.58/7,919.50
  6. Step 6: Final answer
    x = 11,157.46

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1.5x scale

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.