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Finding the Fourth Proportional to 20,652.42, 30,978.60 and 5,861.46

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Solution

The fourth proportional to 20,652.42, 30,978.60 and 5,861.46 is: 8,792.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,652.42 : 30,978.60 = 5,861.46 : x
  2. Step 2: Convert to fraction form
    20,652.42/30,978.60 = 5,861.46/x
  3. Step 3: Cross multiply
    20,652.42x = 30,978.60 × 5,861.46
  4. Step 4: Simplify right side
    20,652.42x = 181,579,824.76
  5. Step 5: Solve for x
    x = 181,579,824.76/20,652.42
  6. Step 6: Final answer
    x = 8,792.18

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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.