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Finding the Fourth Proportional to 20,954, 31,431.36 and 7,103.36

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Solution

The fourth proportional to 20,954, 31,431.36 and 7,103.36 is: 10,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954 : 31,431.36 = 7,103.36 : x
  2. Step 2: Convert to fraction form
    20,954/31,431.36 = 7,103.36/x
  3. Step 3: Cross multiply
    20,954x = 31,431.36 × 7,103.36
  4. Step 4: Simplify right side
    20,954x = 223,268,265.37
  5. Step 5: Solve for x
    x = 223,268,265.37/20,954
  6. Step 6: Final answer
    x = 10,655.16

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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.