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Finding the Fourth Proportional to 23,194.56, 31,992 and 21,312

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Solution

The fourth proportional to 23,194.56, 31,992 and 21,312 is: 29,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.56 : 31,992 = 21,312 : x
  2. Step 2: Convert to fraction form
    23,194.56/31,992 = 21,312/x
  3. Step 3: Cross multiply
    23,194.56x = 31,992 × 21,312
  4. Step 4: Simplify right side
    23,194.56x = 681,813,504
  5. Step 5: Solve for x
    x = 681,813,504/23,194.56
  6. Step 6: Final answer
    x = 29,395.41

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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.