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Finding the Fourth Proportional to 7,209, 10,801.22 and 5,118.66

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Solution

The fourth proportional to 7,209, 10,801.22 and 5,118.66 is: 7,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209 : 10,801.22 = 5,118.66 : x
  2. Step 2: Convert to fraction form
    7,209/10,801.22 = 5,118.66/x
  3. Step 3: Cross multiply
    7,209x = 10,801.22 × 5,118.66
  4. Step 4: Simplify right side
    7,209x = 55,287,747.17
  5. Step 5: Solve for x
    x = 55,287,747.17/7,209
  6. Step 6: Final answer
    x = 7,669.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.