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Finding the Fourth Proportional to 13,516.99, 18,634.67 and 11,648.47

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Solution

The fourth proportional to 13,516.99, 18,634.67 and 11,648.47 is: 16,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,516.99 : 18,634.67 = 11,648.47 : x
  2. Step 2: Convert to fraction form
    13,516.99/18,634.67 = 11,648.47/x
  3. Step 3: Cross multiply
    13,516.99x = 18,634.67 × 11,648.47
  4. Step 4: Simplify right side
    13,516.99x = 217,065,410.83
  5. Step 5: Solve for x
    x = 217,065,410.83/13,516.99
  6. Step 6: Final answer
    x = 16,058.71

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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.