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Finding the Fourth Proportional to 7,092.46, 9,786.99 and 3,948.94

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Solution

The fourth proportional to 7,092.46, 9,786.99 and 3,948.94 is: 5,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.46 : 9,786.99 = 3,948.94 : x
  2. Step 2: Convert to fraction form
    7,092.46/9,786.99 = 3,948.94/x
  3. Step 3: Cross multiply
    7,092.46x = 9,786.99 × 3,948.94
  4. Step 4: Simplify right side
    7,092.46x = 38,648,236.29
  5. Step 5: Solve for x
    x = 38,648,236.29/7,092.46
  6. Step 6: Final answer
    x = 5,449.20

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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.