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Finding the Fourth Proportional to 20,879.40, 28,813.44 and 11,448

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Solution

The fourth proportional to 20,879.40, 28,813.44 and 11,448 is: 15,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,879.40 : 28,813.44 = 11,448 : x
  2. Step 2: Convert to fraction form
    20,879.40/28,813.44 = 11,448/x
  3. Step 3: Cross multiply
    20,879.40x = 28,813.44 × 11,448
  4. Step 4: Simplify right side
    20,879.40x = 329,856,261.12
  5. Step 5: Solve for x
    x = 329,856,261.12/20,879.40
  6. Step 6: Final answer
    x = 15,798.17

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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.