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Finding the Fourth Proportional to 20,164.90, 30,247.35 and 11,416.90

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Solution

The fourth proportional to 20,164.90, 30,247.35 and 11,416.90 is: 17,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.90 : 30,247.35 = 11,416.90 : x
  2. Step 2: Convert to fraction form
    20,164.90/30,247.35 = 11,416.90/x
  3. Step 3: Cross multiply
    20,164.90x = 30,247.35 × 11,416.90
  4. Step 4: Simplify right side
    20,164.90x = 345,330,970.22
  5. Step 5: Solve for x
    x = 345,330,970.22/20,164.90
  6. Step 6: Final answer
    x = 17,125.35

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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.