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Finding the Fourth Proportional to 13,525.92, 18,654.30 and 11,411.82

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Solution

The fourth proportional to 13,525.92, 18,654.30 and 11,411.82 is: 15,738.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,525.92 : 18,654.30 = 11,411.82 : x
  2. Step 2: Convert to fraction form
    13,525.92/18,654.30 = 11,411.82/x
  3. Step 3: Cross multiply
    13,525.92x = 18,654.30 × 11,411.82
  4. Step 4: Simplify right side
    13,525.92x = 212,879,513.83
  5. Step 5: Solve for x
    x = 212,879,513.83/13,525.92
  6. Step 6: Final answer
    x = 15,738.63

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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.