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Finding the Fourth Proportional to 21,922, 32,900.92 and 15,361.36

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Solution

The fourth proportional to 21,922, 32,900.92 and 15,361.36 is: 23,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,922 : 32,900.92 = 15,361.36 : x
  2. Step 2: Convert to fraction form
    21,922/32,900.92 = 15,361.36/x
  3. Step 3: Cross multiply
    21,922x = 32,900.92 × 15,361.36
  4. Step 4: Simplify right side
    21,922x = 505,402,876.45
  5. Step 5: Solve for x
    x = 505,402,876.45/21,922
  6. Step 6: Final answer
    x = 23,054.60

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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.