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Finding the Fourth Proportional to 20,820, 28,731.60 and 11,388.57

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Solution

The fourth proportional to 20,820, 28,731.60 and 11,388.57 is: 15,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820 : 28,731.60 = 11,388.57 : x
  2. Step 2: Convert to fraction form
    20,820/28,731.60 = 11,388.57/x
  3. Step 3: Cross multiply
    20,820x = 28,731.60 × 11,388.57
  4. Step 4: Simplify right side
    20,820x = 327,211,837.81
  5. Step 5: Solve for x
    x = 327,211,837.81/20,820
  6. Step 6: Final answer
    x = 15,716.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.