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Finding the Fourth Proportional to 20,197, 27,874.02 and 13,125.16

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Solution

The fourth proportional to 20,197, 27,874.02 and 13,125.16 is: 18,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197 : 27,874.02 = 13,125.16 : x
  2. Step 2: Convert to fraction form
    20,197/27,874.02 = 13,125.16/x
  3. Step 3: Cross multiply
    20,197x = 27,874.02 × 13,125.16
  4. Step 4: Simplify right side
    20,197x = 365,850,972.34
  5. Step 5: Solve for x
    x = 365,850,972.34/20,197
  6. Step 6: Final answer
    x = 18,114.12

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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.