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Finding the Fourth Proportional to 12,197.75, 16,832.93 and 6,820.38

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Solution

The fourth proportional to 12,197.75, 16,832.93 and 6,820.38 is: 9,412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,197.75 : 16,832.93 = 6,820.38 : x
  2. Step 2: Convert to fraction form
    12,197.75/16,832.93 = 6,820.38/x
  3. Step 3: Cross multiply
    12,197.75x = 16,832.93 × 6,820.38
  4. Step 4: Simplify right side
    12,197.75x = 114,806,996.16
  5. Step 5: Solve for x
    x = 114,806,996.16/12,197.75
  6. Step 6: Final answer
    x = 9,412.14

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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.