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Finding the Fourth Proportional to 6,843.47, 10,202.93 and 6,425.21

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Solution

The fourth proportional to 6,843.47, 10,202.93 and 6,425.21 is: 9,579.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.47 : 10,202.93 = 6,425.21 : x
  2. Step 2: Convert to fraction form
    6,843.47/10,202.93 = 6,425.21/x
  3. Step 3: Cross multiply
    6,843.47x = 10,202.93 × 6,425.21
  4. Step 4: Simplify right side
    6,843.47x = 65,555,884.72
  5. Step 5: Solve for x
    x = 65,555,884.72/6,843.47
  6. Step 6: Final answer
    x = 9,579.34

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.