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Finding the Fourth Proportional to 5,163.92, 7,740.39 and 3,928.26

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Solution

The fourth proportional to 5,163.92, 7,740.39 and 3,928.26 is: 5,888.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.92 : 7,740.39 = 3,928.26 : x
  2. Step 2: Convert to fraction form
    5,163.92/7,740.39 = 3,928.26/x
  3. Step 3: Cross multiply
    5,163.92x = 7,740.39 × 3,928.26
  4. Step 4: Simplify right side
    5,163.92x = 30,406,308.18
  5. Step 5: Solve for x
    x = 30,406,308.18/5,163.92
  6. Step 6: Final answer
    x = 5,888.22

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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.