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Finding the Fourth Proportional to 22,922, 31,643.88 and 21,539.60

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Solution

The fourth proportional to 22,922, 31,643.88 and 21,539.60 is: 29,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,922 : 31,643.88 = 21,539.60 : x
  2. Step 2: Convert to fraction form
    22,922/31,643.88 = 21,539.60/x
  3. Step 3: Cross multiply
    22,922x = 31,643.88 × 21,539.60
  4. Step 4: Simplify right side
    22,922x = 681,596,517.65
  5. Step 5: Solve for x
    x = 681,596,517.65/22,922
  6. Step 6: Final answer
    x = 29,735.47

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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.