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Finding the Fourth Proportional to 6,833.88, 9,428.70 and 4,178.49

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Solution

The fourth proportional to 6,833.88, 9,428.70 and 4,178.49 is: 5,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.88 : 9,428.70 = 4,178.49 : x
  2. Step 2: Convert to fraction form
    6,833.88/9,428.70 = 4,178.49/x
  3. Step 3: Cross multiply
    6,833.88x = 9,428.70 × 4,178.49
  4. Step 4: Simplify right side
    6,833.88x = 39,397,728.66
  5. Step 5: Solve for x
    x = 39,397,728.66/6,833.88
  6. Step 6: Final answer
    x = 5,765.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.