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Finding the Fourth Proportional to 22,447.80, 30,971.90 and 12,757.12

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Solution

The fourth proportional to 22,447.80, 30,971.90 and 12,757.12 is: 17,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.80 : 30,971.90 = 12,757.12 : x
  2. Step 2: Convert to fraction form
    22,447.80/30,971.90 = 12,757.12/x
  3. Step 3: Cross multiply
    22,447.80x = 30,971.90 × 12,757.12
  4. Step 4: Simplify right side
    22,447.80x = 395,112,199.39
  5. Step 5: Solve for x
    x = 395,112,199.39/22,447.80
  6. Step 6: Final answer
    x = 17,601.38

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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.