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Finding the Fourth Proportional to 31,879.48, 44,013.36 and 20,553

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Solution

The fourth proportional to 31,879.48, 44,013.36 and 20,553 is: 28,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.48 : 44,013.36 = 20,553 : x
  2. Step 2: Convert to fraction form
    31,879.48/44,013.36 = 20,553/x
  3. Step 3: Cross multiply
    31,879.48x = 44,013.36 × 20,553
  4. Step 4: Simplify right side
    31,879.48x = 904,606,588.08
  5. Step 5: Solve for x
    x = 904,606,588.08/31,879.48
  6. Step 6: Final answer
    x = 28,375.83

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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.