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Finding the Fourth Proportional to 20,164.58, 30,255.54 and 7,009.78

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Solution

The fourth proportional to 20,164.58, 30,255.54 and 7,009.78 is: 10,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.58 : 30,255.54 = 7,009.78 : x
  2. Step 2: Convert to fraction form
    20,164.58/30,255.54 = 7,009.78/x
  3. Step 3: Cross multiply
    20,164.58x = 30,255.54 × 7,009.78
  4. Step 4: Simplify right side
    20,164.58x = 212,084,679.18
  5. Step 5: Solve for x
    x = 212,084,679.18/20,164.58
  6. Step 6: Final answer
    x = 10,517.68

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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.