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Finding the Fourth Proportional to 7,954.07, 11,919.80 and 5,857.62

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Solution

The fourth proportional to 7,954.07, 11,919.80 and 5,857.62 is: 8,778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.07 : 11,919.80 = 5,857.62 : x
  2. Step 2: Convert to fraction form
    7,954.07/11,919.80 = 5,857.62/x
  3. Step 3: Cross multiply
    7,954.07x = 11,919.80 × 5,857.62
  4. Step 4: Simplify right side
    7,954.07x = 69,821,629.59
  5. Step 5: Solve for x
    x = 69,821,629.59/7,954.07
  6. Step 6: Final answer
    x = 8,778.11

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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.