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Finding the Fourth Proportional to 5,786.94, 7,991.44 and 4,212.30

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Solution

The fourth proportional to 5,786.94, 7,991.44 and 4,212.30 is: 5,816.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.94 : 7,991.44 = 4,212.30 : x
  2. Step 2: Convert to fraction form
    5,786.94/7,991.44 = 4,212.30/x
  3. Step 3: Cross multiply
    5,786.94x = 7,991.44 × 4,212.30
  4. Step 4: Simplify right side
    5,786.94x = 33,662,342.71
  5. Step 5: Solve for x
    x = 33,662,342.71/5,786.94
  6. Step 6: Final answer
    x = 5,816.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.