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Finding the Fourth Proportional to 6,858.78, 9,471.84 and 5,858.22

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Solution

The fourth proportional to 6,858.78, 9,471.84 and 5,858.22 is: 8,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.78 : 9,471.84 = 5,858.22 : x
  2. Step 2: Convert to fraction form
    6,858.78/9,471.84 = 5,858.22/x
  3. Step 3: Cross multiply
    6,858.78x = 9,471.84 × 5,858.22
  4. Step 4: Simplify right side
    6,858.78x = 55,488,136.08
  5. Step 5: Solve for x
    x = 55,488,136.08/6,858.78
  6. Step 6: Final answer
    x = 8,090.09

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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.