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Finding the Fourth Proportional to 20,872.81, 28,804.44 and 11,441.44

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Solution

The fourth proportional to 20,872.81, 28,804.44 and 11,441.44 is: 15,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.81 : 28,804.44 = 11,441.44 : x
  2. Step 2: Convert to fraction form
    20,872.81/28,804.44 = 11,441.44/x
  3. Step 3: Cross multiply
    20,872.81x = 28,804.44 × 11,441.44
  4. Step 4: Simplify right side
    20,872.81x = 329,564,271.99
  5. Step 5: Solve for x
    x = 329,564,271.99/20,872.81
  6. Step 6: Final answer
    x = 15,789.17

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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.