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Finding the Fourth Proportional to 9,144, 12,618.72 and 7,722

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Solution

The fourth proportional to 9,144, 12,618.72 and 7,722 is: 10,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144 : 12,618.72 = 7,722 : x
  2. Step 2: Convert to fraction form
    9,144/12,618.72 = 7,722/x
  3. Step 3: Cross multiply
    9,144x = 12,618.72 × 7,722
  4. Step 4: Simplify right side
    9,144x = 97,441,755.84
  5. Step 5: Solve for x
    x = 97,441,755.84/9,144
  6. Step 6: Final answer
    x = 10,656.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.