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Finding the Fourth Proportional to 5,190.86, 7,786.25 and 1,295.24

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Solution

The fourth proportional to 5,190.86, 7,786.25 and 1,295.24 is: 1,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.86 : 7,786.25 = 1,295.24 : x
  2. Step 2: Convert to fraction form
    5,190.86/7,786.25 = 1,295.24/x
  3. Step 3: Cross multiply
    5,190.86x = 7,786.25 × 1,295.24
  4. Step 4: Simplify right side
    5,190.86x = 10,085,062.45
  5. Step 5: Solve for x
    x = 10,085,062.45/5,190.86
  6. Step 6: Final answer
    x = 1,942.85

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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.