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Finding the Fourth Proportional to 30,309, 41,826.12 and 16,879.46

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Solution

The fourth proportional to 30,309, 41,826.12 and 16,879.46 is: 23,293.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,309 : 41,826.12 = 16,879.46 : x
  2. Step 2: Convert to fraction form
    30,309/41,826.12 = 16,879.46/x
  3. Step 3: Cross multiply
    30,309x = 41,826.12 × 16,879.46
  4. Step 4: Simplify right side
    30,309x = 706,002,319.50
  5. Step 5: Solve for x
    x = 706,002,319.50/30,309
  6. Step 6: Final answer
    x = 23,293.49

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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.