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Finding the Fourth Proportional to 21,811.16, 32,716.73 and 7,021.22

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Solution

The fourth proportional to 21,811.16, 32,716.73 and 7,021.22 is: 10,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.16 : 32,716.73 = 7,021.22 : x
  2. Step 2: Convert to fraction form
    21,811.16/32,716.73 = 7,021.22/x
  3. Step 3: Cross multiply
    21,811.16x = 32,716.73 × 7,021.22
  4. Step 4: Simplify right side
    21,811.16x = 229,711,160.32
  5. Step 5: Solve for x
    x = 229,711,160.32/21,811.16
  6. Step 6: Final answer
    x = 10,531.82

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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.