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Finding the Fourth Proportional to 5,238.93, 7,853.54 and 1,949.61

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Solution

The fourth proportional to 5,238.93, 7,853.54 and 1,949.61 is: 2,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.93 : 7,853.54 = 1,949.61 : x
  2. Step 2: Convert to fraction form
    5,238.93/7,853.54 = 1,949.61/x
  3. Step 3: Cross multiply
    5,238.93x = 7,853.54 × 1,949.61
  4. Step 4: Simplify right side
    5,238.93x = 15,311,330.37
  5. Step 5: Solve for x
    x = 15,311,330.37/5,238.93
  6. Step 6: Final answer
    x = 2,922.61

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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.