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Finding the Fourth Proportional to 8,206.84, 11,326.71 and 5,223.97

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Solution

The fourth proportional to 8,206.84, 11,326.71 and 5,223.97 is: 7,209.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.84 : 11,326.71 = 5,223.97 : x
  2. Step 2: Convert to fraction form
    8,206.84/11,326.71 = 5,223.97/x
  3. Step 3: Cross multiply
    8,206.84x = 11,326.71 × 5,223.97
  4. Step 4: Simplify right side
    8,206.84x = 59,170,393.24
  5. Step 5: Solve for x
    x = 59,170,393.24/8,206.84
  6. Step 6: Final answer
    x = 7,209.89

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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.