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Finding the Fourth Proportional to 21,761, 30,030.18 and 11,825

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Solution

The fourth proportional to 21,761, 30,030.18 and 11,825 is: 16,318.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761 : 30,030.18 = 11,825 : x
  2. Step 2: Convert to fraction form
    21,761/30,030.18 = 11,825/x
  3. Step 3: Cross multiply
    21,761x = 30,030.18 × 11,825
  4. Step 4: Simplify right side
    21,761x = 355,106,878.50
  5. Step 5: Solve for x
    x = 355,106,878.50/21,761
  6. Step 6: Final answer
    x = 16,318.50

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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.