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Finding the Fourth Proportional to 31,879.58, 47,819.29 and 9,692.86

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Solution

The fourth proportional to 31,879.58, 47,819.29 and 9,692.86 is: 14,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.58 : 47,819.29 = 9,692.86 : x
  2. Step 2: Convert to fraction form
    31,879.58/47,819.29 = 9,692.86/x
  3. Step 3: Cross multiply
    31,879.58x = 47,819.29 × 9,692.86
  4. Step 4: Simplify right side
    31,879.58x = 463,505,683.27
  5. Step 5: Solve for x
    x = 463,505,683.27/31,879.58
  6. Step 6: Final answer
    x = 14,539.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.