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Finding the Fourth Proportional to 7,831, 10,805.79 and 4,293.28

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Solution

The fourth proportional to 7,831, 10,805.79 and 4,293.28 is: 5,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831 : 10,805.79 = 4,293.28 : x
  2. Step 2: Convert to fraction form
    7,831/10,805.79 = 4,293.28/x
  3. Step 3: Cross multiply
    7,831x = 10,805.79 × 4,293.28
  4. Step 4: Simplify right side
    7,831x = 46,392,282.09
  5. Step 5: Solve for x
    x = 46,392,282.09/7,831
  6. Step 6: Final answer
    x = 5,924.18

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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.