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Finding the Fourth Proportional to 20,647.87, 30,968.15 and 9,400.61

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Solution

The fourth proportional to 20,647.87, 30,968.15 and 9,400.61 is: 14,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,647.87 : 30,968.15 = 9,400.61 : x
  2. Step 2: Convert to fraction form
    20,647.87/30,968.15 = 9,400.61/x
  3. Step 3: Cross multiply
    20,647.87x = 30,968.15 × 9,400.61
  4. Step 4: Simplify right side
    20,647.87x = 291,119,530.99
  5. Step 5: Solve for x
    x = 291,119,530.99/20,647.87
  6. Step 6: Final answer
    x = 14,099.25

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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.