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Finding the Fourth Proportional to 20,486.28, 30,744 and 8,802.84

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Solution

The fourth proportional to 20,486.28, 30,744 and 8,802.84 is: 13,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.28 : 30,744 = 8,802.84 : x
  2. Step 2: Convert to fraction form
    20,486.28/30,744 = 8,802.84/x
  3. Step 3: Cross multiply
    20,486.28x = 30,744 × 8,802.84
  4. Step 4: Simplify right side
    20,486.28x = 270,634,512.96
  5. Step 5: Solve for x
    x = 270,634,512.96/20,486.28
  6. Step 6: Final answer
    x = 13,210.52

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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.