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Finding the Fourth Proportional to 13,669.97, 18,863.48 and 8,364.06

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Solution

The fourth proportional to 13,669.97, 18,863.48 and 8,364.06 is: 11,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.97 : 18,863.48 = 8,364.06 : x
  2. Step 2: Convert to fraction form
    13,669.97/18,863.48 = 8,364.06/x
  3. Step 3: Cross multiply
    13,669.97x = 18,863.48 × 8,364.06
  4. Step 4: Simplify right side
    13,669.97x = 157,775,299.44
  5. Step 5: Solve for x
    x = 157,775,299.44/13,669.97
  6. Step 6: Final answer
    x = 11,541.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.