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Finding the Fourth Proportional to 12,611, 17,403.72 and 7,022

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Solution

The fourth proportional to 12,611, 17,403.72 and 7,022 is: 9,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,611 : 17,403.72 = 7,022 : x
  2. Step 2: Convert to fraction form
    12,611/17,403.72 = 7,022/x
  3. Step 3: Cross multiply
    12,611x = 17,403.72 × 7,022
  4. Step 4: Simplify right side
    12,611x = 122,208,921.84
  5. Step 5: Solve for x
    x = 122,208,921.84/12,611
  6. Step 6: Final answer
    x = 9,690.66

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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.