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Finding the Fourth Proportional to 20,483.28, 30,739.50 and 8,799.84

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Solution

The fourth proportional to 20,483.28, 30,739.50 and 8,799.84 is: 13,206.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,483.28 : 30,739.50 = 8,799.84 : x
  2. Step 2: Convert to fraction form
    20,483.28/30,739.50 = 8,799.84/x
  3. Step 3: Cross multiply
    20,483.28x = 30,739.50 × 8,799.84
  4. Step 4: Simplify right side
    20,483.28x = 270,502,681.68
  5. Step 5: Solve for x
    x = 270,502,681.68/20,483.28
  6. Step 6: Final answer
    x = 13,206.02

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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.