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Finding the Fourth Proportional to 7,857.43, 10,843.07 and 4,272.33

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Solution

The fourth proportional to 7,857.43, 10,843.07 and 4,272.33 is: 5,895.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.43 : 10,843.07 = 4,272.33 : x
  2. Step 2: Convert to fraction form
    7,857.43/10,843.07 = 4,272.33/x
  3. Step 3: Cross multiply
    7,857.43x = 10,843.07 × 4,272.33
  4. Step 4: Simplify right side
    7,857.43x = 46,325,151.89
  5. Step 5: Solve for x
    x = 46,325,151.89/7,857.43
  6. Step 6: Final answer
    x = 5,895.72

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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.