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Finding the Fourth Proportional to 14,140.52, 19,512.44 and 8,174.12

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Solution

The fourth proportional to 14,140.52, 19,512.44 and 8,174.12 is: 11,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.52 : 19,512.44 = 8,174.12 : x
  2. Step 2: Convert to fraction form
    14,140.52/19,512.44 = 8,174.12/x
  3. Step 3: Cross multiply
    14,140.52x = 19,512.44 × 8,174.12
  4. Step 4: Simplify right side
    14,140.52x = 159,497,026.05
  5. Step 5: Solve for x
    x = 159,497,026.05/14,140.52
  6. Step 6: Final answer
    x = 11,279.43

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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.