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Finding the Fourth Proportional to 11,361.75, 15,679.22 and 6,646.95

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Solution

The fourth proportional to 11,361.75, 15,679.22 and 6,646.95 is: 9,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.75 : 15,679.22 = 6,646.95 : x
  2. Step 2: Convert to fraction form
    11,361.75/15,679.22 = 6,646.95/x
  3. Step 3: Cross multiply
    11,361.75x = 15,679.22 × 6,646.95
  4. Step 4: Simplify right side
    11,361.75x = 104,218,958.14
  5. Step 5: Solve for x
    x = 104,218,958.14/11,361.75
  6. Step 6: Final answer
    x = 9,172.79

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1.5x scale

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.