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Finding the Fourth Proportional to 6,768.31, 9,340.31 and 3,784.42

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Solution

The fourth proportional to 6,768.31, 9,340.31 and 3,784.42 is: 5,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,768.31 : 9,340.31 = 3,784.42 : x
  2. Step 2: Convert to fraction form
    6,768.31/9,340.31 = 3,784.42/x
  3. Step 3: Cross multiply
    6,768.31x = 9,340.31 × 3,784.42
  4. Step 4: Simplify right side
    6,768.31x = 35,347,677.11
  5. Step 5: Solve for x
    x = 35,347,677.11/6,768.31
  6. Step 6: Final answer
    x = 5,222.53

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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.