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Finding the Fourth Proportional to 20,649.84, 30,976.68 and 5,859.12

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Solution

The fourth proportional to 20,649.84, 30,976.68 and 5,859.12 is: 8,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,649.84 : 30,976.68 = 5,859.12 : x
  2. Step 2: Convert to fraction form
    20,649.84/30,976.68 = 5,859.12/x
  3. Step 3: Cross multiply
    20,649.84x = 30,976.68 × 5,859.12
  4. Step 4: Simplify right side
    20,649.84x = 181,496,085.32
  5. Step 5: Solve for x
    x = 181,496,085.32/20,649.84
  6. Step 6: Final answer
    x = 8,789.22

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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.