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Finding the Fourth Proportional to 20,804.41, 28,709.94 and 11,373

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Solution

The fourth proportional to 20,804.41, 28,709.94 and 11,373 is: 15,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.41 : 28,709.94 = 11,373 : x
  2. Step 2: Convert to fraction form
    20,804.41/28,709.94 = 11,373/x
  3. Step 3: Cross multiply
    20,804.41x = 28,709.94 × 11,373
  4. Step 4: Simplify right side
    20,804.41x = 326,518,147.62
  5. Step 5: Solve for x
    x = 326,518,147.62/20,804.41
  6. Step 6: Final answer
    x = 15,694.66

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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.