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Finding the Fourth Proportional to 20,463.60, 28,222.92 and 12,072

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Solution

The fourth proportional to 20,463.60, 28,222.92 and 12,072 is: 16,649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463.60 : 28,222.92 = 12,072 : x
  2. Step 2: Convert to fraction form
    20,463.60/28,222.92 = 12,072/x
  3. Step 3: Cross multiply
    20,463.60x = 28,222.92 × 12,072
  4. Step 4: Simplify right side
    20,463.60x = 340,707,090.24
  5. Step 5: Solve for x
    x = 340,707,090.24/20,463.60
  6. Step 6: Final answer
    x = 16,649.42

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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.