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Finding the Fourth Proportional to 13,661.64, 20,482.74 and 8,101.80

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Solution

The fourth proportional to 13,661.64, 20,482.74 and 8,101.80 is: 12,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.64 : 20,482.74 = 8,101.80 : x
  2. Step 2: Convert to fraction form
    13,661.64/20,482.74 = 8,101.80/x
  3. Step 3: Cross multiply
    13,661.64x = 20,482.74 × 8,101.80
  4. Step 4: Simplify right side
    13,661.64x = 165,947,062.93
  5. Step 5: Solve for x
    x = 165,947,062.93/13,661.64
  6. Step 6: Final answer
    x = 12,146.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.