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Finding the Fourth Proportional to 23,051.76, 31,806.36 and 13,615.44

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Solution

The fourth proportional to 23,051.76, 31,806.36 and 13,615.44 is: 18,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,051.76 : 31,806.36 = 13,615.44 : x
  2. Step 2: Convert to fraction form
    23,051.76/31,806.36 = 13,615.44/x
  3. Step 3: Cross multiply
    23,051.76x = 31,806.36 × 13,615.44
  4. Step 4: Simplify right side
    23,051.76x = 433,057,586.20
  5. Step 5: Solve for x
    x = 433,057,586.20/23,051.76
  6. Step 6: Final answer
    x = 18,786.31

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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.