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Finding the Fourth Proportional to 5,316.93, 7,993.62 and 5,178.42

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Solution

The fourth proportional to 5,316.93, 7,993.62 and 5,178.42 is: 7,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.93 : 7,993.62 = 5,178.42 : x
  2. Step 2: Convert to fraction form
    5,316.93/7,993.62 = 5,178.42/x
  3. Step 3: Cross multiply
    5,316.93x = 7,993.62 × 5,178.42
  4. Step 4: Simplify right side
    5,316.93x = 41,394,321.68
  5. Step 5: Solve for x
    x = 41,394,321.68/5,316.93
  6. Step 6: Final answer
    x = 7,785.38

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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.