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Finding the Fourth Proportional to 20,797.86, 31,181.22 and 6,749.50

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Solution

The fourth proportional to 20,797.86, 31,181.22 and 6,749.50 is: 10,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.86 : 31,181.22 = 6,749.50 : x
  2. Step 2: Convert to fraction form
    20,797.86/31,181.22 = 6,749.50/x
  3. Step 3: Cross multiply
    20,797.86x = 31,181.22 × 6,749.50
  4. Step 4: Simplify right side
    20,797.86x = 210,457,640.13
  5. Step 5: Solve for x
    x = 210,457,640.13/20,797.86
  6. Step 6: Final answer
    x = 10,119.20

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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.