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Finding the Fourth Proportional to 20,672.64, 28,526.76 and 11,241

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Solution

The fourth proportional to 20,672.64, 28,526.76 and 11,241 is: 15,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,672.64 : 28,526.76 = 11,241 : x
  2. Step 2: Convert to fraction form
    20,672.64/28,526.76 = 11,241/x
  3. Step 3: Cross multiply
    20,672.64x = 28,526.76 × 11,241
  4. Step 4: Simplify right side
    20,672.64x = 320,669,309.16
  5. Step 5: Solve for x
    x = 320,669,309.16/20,672.64
  6. Step 6: Final answer
    x = 15,511.77

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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.