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Finding the Fourth Proportional to 12,160.63, 18,153.01 and 10,684.41

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Solution

The fourth proportional to 12,160.63, 18,153.01 and 10,684.41 is: 15,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,160.63 : 18,153.01 = 10,684.41 : x
  2. Step 2: Convert to fraction form
    12,160.63/18,153.01 = 10,684.41/x
  3. Step 3: Cross multiply
    12,160.63x = 18,153.01 × 10,684.41
  4. Step 4: Simplify right side
    12,160.63x = 193,954,146.86
  5. Step 5: Solve for x
    x = 193,954,146.86/12,160.63
  6. Step 6: Final answer
    x = 15,949.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.