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Finding the Fourth Proportional to 30,245.16, 41,739.39 and 16,820.22

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Solution

The fourth proportional to 30,245.16, 41,739.39 and 16,820.22 is: 23,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,245.16 : 41,739.39 = 16,820.22 : x
  2. Step 2: Convert to fraction form
    30,245.16/41,739.39 = 16,820.22/x
  3. Step 3: Cross multiply
    30,245.16x = 41,739.39 × 16,820.22
  4. Step 4: Simplify right side
    30,245.16x = 702,065,722.47
  5. Step 5: Solve for x
    x = 702,065,722.47/30,245.16
  6. Step 6: Final answer
    x = 23,212.50

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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.