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Finding the Fourth Proportional to 20,173, 30,260.22 and 5,382.76

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Solution

The fourth proportional to 20,173, 30,260.22 and 5,382.76 is: 8,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,173 : 30,260.22 = 5,382.76 : x
  2. Step 2: Convert to fraction form
    20,173/30,260.22 = 5,382.76/x
  3. Step 3: Cross multiply
    20,173x = 30,260.22 × 5,382.76
  4. Step 4: Simplify right side
    20,173x = 162,883,501.81
  5. Step 5: Solve for x
    x = 162,883,501.81/20,173
  6. Step 6: Final answer
    x = 8,074.33

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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.