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Finding the Fourth Proportional to 20,638, 30,957.72 and 6,788.08

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Solution

The fourth proportional to 20,638, 30,957.72 and 6,788.08 is: 10,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,638 : 30,957.72 = 6,788.08 : x
  2. Step 2: Convert to fraction form
    20,638/30,957.72 = 6,788.08/x
  3. Step 3: Cross multiply
    20,638x = 30,957.72 × 6,788.08
  4. Step 4: Simplify right side
    20,638x = 210,143,479.98
  5. Step 5: Solve for x
    x = 210,143,479.98/20,638
  6. Step 6: Final answer
    x = 10,182.36

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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.