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Finding the Fourth Proportional to 6,991.29, 9,648.21 and 4,007.69

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Solution

The fourth proportional to 6,991.29, 9,648.21 and 4,007.69 is: 5,530.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.29 : 9,648.21 = 4,007.69 : x
  2. Step 2: Convert to fraction form
    6,991.29/9,648.21 = 4,007.69/x
  3. Step 3: Cross multiply
    6,991.29x = 9,648.21 × 4,007.69
  4. Step 4: Simplify right side
    6,991.29x = 38,667,034.73
  5. Step 5: Solve for x
    x = 38,667,034.73/6,991.29
  6. Step 6: Final answer
    x = 5,530.74

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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.