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Finding the Fourth Proportional to 20,205, 30,308.58 and 6,355.08

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Solution

The fourth proportional to 20,205, 30,308.58 and 6,355.08 is: 9,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205 : 30,308.58 = 6,355.08 : x
  2. Step 2: Convert to fraction form
    20,205/30,308.58 = 6,355.08/x
  3. Step 3: Cross multiply
    20,205x = 30,308.58 × 6,355.08
  4. Step 4: Simplify right side
    20,205x = 192,613,450.59
  5. Step 5: Solve for x
    x = 192,613,450.59/20,205
  6. Step 6: Final answer
    x = 9,532.96

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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.