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Finding the Fourth Proportional to 23,003.50, 31,742.74 and 13,311.28

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Solution

The fourth proportional to 23,003.50, 31,742.74 and 13,311.28 is: 18,368.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,003.50 : 31,742.74 = 13,311.28 : x
  2. Step 2: Convert to fraction form
    23,003.50/31,742.74 = 13,311.28/x
  3. Step 3: Cross multiply
    23,003.50x = 31,742.74 × 13,311.28
  4. Step 4: Simplify right side
    23,003.50x = 422,536,500.11
  5. Step 5: Solve for x
    x = 422,536,500.11/23,003.50
  6. Step 6: Final answer
    x = 18,368.36

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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.