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Finding the Fourth Proportional to 7,791.89, 11,684.45 and 4,280.84

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Solution

The fourth proportional to 7,791.89, 11,684.45 and 4,280.84 is: 6,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.89 : 11,684.45 = 4,280.84 : x
  2. Step 2: Convert to fraction form
    7,791.89/11,684.45 = 4,280.84/x
  3. Step 3: Cross multiply
    7,791.89x = 11,684.45 × 4,280.84
  4. Step 4: Simplify right side
    7,791.89x = 50,019,316.36
  5. Step 5: Solve for x
    x = 50,019,316.36/7,791.89
  6. Step 6: Final answer
    x = 6,419.41

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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.