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Finding the Fourth Proportional to 7,843.43, 10,825.83 and 4,857.47

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Solution

The fourth proportional to 7,843.43, 10,825.83 and 4,857.47 is: 6,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.43 : 10,825.83 = 4,857.47 : x
  2. Step 2: Convert to fraction form
    7,843.43/10,825.83 = 4,857.47/x
  3. Step 3: Cross multiply
    7,843.43x = 10,825.83 × 4,857.47
  4. Step 4: Simplify right side
    7,843.43x = 52,586,117.26
  5. Step 5: Solve for x
    x = 52,586,117.26/7,843.43
  6. Step 6: Final answer
    x = 6,704.48

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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.