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Finding the Fourth Proportional to 20,533.32, 30,799.78 and 6,493.35

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Solution

The fourth proportional to 20,533.32, 30,799.78 and 6,493.35 is: 9,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.32 : 30,799.78 = 6,493.35 : x
  2. Step 2: Convert to fraction form
    20,533.32/30,799.78 = 6,493.35/x
  3. Step 3: Cross multiply
    20,533.32x = 30,799.78 × 6,493.35
  4. Step 4: Simplify right side
    20,533.32x = 199,993,873.26
  5. Step 5: Solve for x
    x = 199,993,873.26/20,533.32
  6. Step 6: Final answer
    x = 9,739.97

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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.