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Finding the Fourth Proportional to 13,474.31, 18,594.56 and 7,885.31

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Solution

The fourth proportional to 13,474.31, 18,594.56 and 7,885.31 is: 10,881.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,474.31 : 18,594.56 = 7,885.31 : x
  2. Step 2: Convert to fraction form
    13,474.31/18,594.56 = 7,885.31/x
  3. Step 3: Cross multiply
    13,474.31x = 18,594.56 × 7,885.31
  4. Step 4: Simplify right side
    13,474.31x = 146,623,876.97
  5. Step 5: Solve for x
    x = 146,623,876.97/13,474.31
  6. Step 6: Final answer
    x = 10,881.73

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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.