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Finding the Fourth Proportional to 12,854.54, 19,283.96 and 4,092.14

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Solution

The fourth proportional to 12,854.54, 19,283.96 and 4,092.14 is: 6,138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.54 : 19,283.96 = 4,092.14 : x
  2. Step 2: Convert to fraction form
    12,854.54/19,283.96 = 4,092.14/x
  3. Step 3: Cross multiply
    12,854.54x = 19,283.96 × 4,092.14
  4. Step 4: Simplify right side
    12,854.54x = 78,912,577.88
  5. Step 5: Solve for x
    x = 78,912,577.88/12,854.54
  6. Step 6: Final answer
    x = 6,138.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.