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Finding the Fourth Proportional to 20,647.62, 30,946.05 and 9,539.28

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Solution

The fourth proportional to 20,647.62, 30,946.05 and 9,539.28 is: 14,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.62 : 30,946.05 = 9,539.28 : x
  2. Step 2: Convert to fraction form
    20,647.62/30,946.05 = 9,539.28/x
  3. Step 3: Cross multiply
    20,647.62x = 30,946.05 × 9,539.28
  4. Step 4: Simplify right side
    20,647.62x = 295,203,035.84
  5. Step 5: Solve for x
    x = 295,203,035.84/20,647.62
  6. Step 6: Final answer
    x = 14,297.19

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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.