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Finding the Fourth Proportional to 13,551.84, 18,682.54 and 11,683.31

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Solution

The fourth proportional to 13,551.84, 18,682.54 and 11,683.31 is: 16,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,551.84 : 18,682.54 = 11,683.31 : x
  2. Step 2: Convert to fraction form
    13,551.84/18,682.54 = 11,683.31/x
  3. Step 3: Cross multiply
    13,551.84x = 18,682.54 × 11,683.31
  4. Step 4: Simplify right side
    13,551.84x = 218,273,783.79
  5. Step 5: Solve for x
    x = 218,273,783.79/13,551.84
  6. Step 6: Final answer
    x = 16,106.58

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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.