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Finding the Fourth Proportional to 8,443.72, 11,642.82 and 6,868.84

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Solution

The fourth proportional to 8,443.72, 11,642.82 and 6,868.84 is: 9,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.72 : 11,642.82 = 6,868.84 : x
  2. Step 2: Convert to fraction form
    8,443.72/11,642.82 = 6,868.84/x
  3. Step 3: Cross multiply
    8,443.72x = 11,642.82 × 6,868.84
  4. Step 4: Simplify right side
    8,443.72x = 79,972,667.73
  5. Step 5: Solve for x
    x = 79,972,667.73/8,443.72
  6. Step 6: Final answer
    x = 9,471.26

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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.