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Finding the Fourth Proportional to 23,224.64, 34,825.44 and 7,640

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Solution

The fourth proportional to 23,224.64, 34,825.44 and 7,640 is: 11,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,224.64 : 34,825.44 = 7,640 : x
  2. Step 2: Convert to fraction form
    23,224.64/34,825.44 = 7,640/x
  3. Step 3: Cross multiply
    23,224.64x = 34,825.44 × 7,640
  4. Step 4: Simplify right side
    23,224.64x = 266,066,361.60
  5. Step 5: Solve for x
    x = 266,066,361.60/23,224.64
  6. Step 6: Final answer
    x = 11,456.21

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Why These Related Problems?

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