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Finding the Fourth Proportional to 20,881, 28,830.90 and 13,441.96

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Solution

The fourth proportional to 20,881, 28,830.90 and 13,441.96 is: 18,559.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,881 : 28,830.90 = 13,441.96 : x
  2. Step 2: Convert to fraction form
    20,881/28,830.90 = 13,441.96/x
  3. Step 3: Cross multiply
    20,881x = 28,830.90 × 13,441.96
  4. Step 4: Simplify right side
    20,881x = 387,543,804.56
  5. Step 5: Solve for x
    x = 387,543,804.56/20,881
  6. Step 6: Final answer
    x = 18,559.64

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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.