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Finding the Fourth Proportional to 14,638.39, 20,196 and 8,264.23

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Solution

The fourth proportional to 14,638.39, 20,196 and 8,264.23 is: 11,401.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.39 : 20,196 = 8,264.23 : x
  2. Step 2: Convert to fraction form
    14,638.39/20,196 = 8,264.23/x
  3. Step 3: Cross multiply
    14,638.39x = 20,196 × 8,264.23
  4. Step 4: Simplify right side
    14,638.39x = 166,904,338.59
  5. Step 5: Solve for x
    x = 166,904,338.59/14,638.39
  6. Step 6: Final answer
    x = 11,401.83

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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.