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Finding the Fourth Proportional to 20,652.49, 30,978.70 and 5,861.55

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Solution

The fourth proportional to 20,652.49, 30,978.70 and 5,861.55 is: 8,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.49 : 30,978.70 = 5,861.55 : x
  2. Step 2: Convert to fraction form
    20,652.49/30,978.70 = 5,861.55/x
  3. Step 3: Cross multiply
    20,652.49x = 30,978.70 × 5,861.55
  4. Step 4: Simplify right side
    20,652.49x = 181,583,198.99
  5. Step 5: Solve for x
    x = 181,583,198.99/20,652.49
  6. Step 6: Final answer
    x = 8,792.32

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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.