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Finding the Fourth Proportional to 32,861.36, 45,353.88 and 20,930

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Solution

The fourth proportional to 32,861.36, 45,353.88 and 20,930 is: 28,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,861.36 : 45,353.88 = 20,930 : x
  2. Step 2: Convert to fraction form
    32,861.36/45,353.88 = 20,930/x
  3. Step 3: Cross multiply
    32,861.36x = 45,353.88 × 20,930
  4. Step 4: Simplify right side
    32,861.36x = 949,256,708.40
  5. Step 5: Solve for x
    x = 949,256,708.40/32,861.36
  6. Step 6: Final answer
    x = 28,886.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.