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Finding the Fourth Proportional to 6,851.37, 10,282.82 and 6,419.37

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Solution

The fourth proportional to 6,851.37, 10,282.82 and 6,419.37 is: 9,634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.37 : 10,282.82 = 6,419.37 : x
  2. Step 2: Convert to fraction form
    6,851.37/10,282.82 = 6,419.37/x
  3. Step 3: Cross multiply
    6,851.37x = 10,282.82 × 6,419.37
  4. Step 4: Simplify right side
    6,851.37x = 66,009,194.13
  5. Step 5: Solve for x
    x = 66,009,194.13/6,851.37
  6. Step 6: Final answer
    x = 9,634.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.