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Finding the Fourth Proportional to 23,174.64, 31,964.01 and 15,213.96

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Solution

The fourth proportional to 23,174.64, 31,964.01 and 15,213.96 is: 20,984.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174.64 : 31,964.01 = 15,213.96 : x
  2. Step 2: Convert to fraction form
    23,174.64/31,964.01 = 15,213.96/x
  3. Step 3: Cross multiply
    23,174.64x = 31,964.01 × 15,213.96
  4. Step 4: Simplify right side
    23,174.64x = 486,299,169.58
  5. Step 5: Solve for x
    x = 486,299,169.58/23,174.64
  6. Step 6: Final answer
    x = 20,984.11

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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.