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Finding the Fourth Proportional to 20,146.84, 30,199.16 and 7,659.07

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Solution

The fourth proportional to 20,146.84, 30,199.16 and 7,659.07 is: 11,480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.84 : 30,199.16 = 7,659.07 : x
  2. Step 2: Convert to fraction form
    20,146.84/30,199.16 = 7,659.07/x
  3. Step 3: Cross multiply
    20,146.84x = 30,199.16 × 7,659.07
  4. Step 4: Simplify right side
    20,146.84x = 231,297,424.03
  5. Step 5: Solve for x
    x = 231,297,424.03/20,146.84
  6. Step 6: Final answer
    x = 11,480.58

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1.5x scale

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.