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Finding the Fourth Proportional to 20,649.66, 30,971.52 and 5,859.90

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Solution

The fourth proportional to 20,649.66, 30,971.52 and 5,859.90 is: 8,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.66 : 30,971.52 = 5,859.90 : x
  2. Step 2: Convert to fraction form
    20,649.66/30,971.52 = 5,859.90/x
  3. Step 3: Cross multiply
    20,649.66x = 30,971.52 × 5,859.90
  4. Step 4: Simplify right side
    20,649.66x = 181,490,010.05
  5. Step 5: Solve for x
    x = 181,490,010.05/20,649.66
  6. Step 6: Final answer
    x = 8,789.01

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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.