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Finding the Fourth Proportional to 31,448.60, 47,173.37 and 8,074.52

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Solution

The fourth proportional to 31,448.60, 47,173.37 and 8,074.52 is: 12,111.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,448.60 : 47,173.37 = 8,074.52 : x
  2. Step 2: Convert to fraction form
    31,448.60/47,173.37 = 8,074.52/x
  3. Step 3: Cross multiply
    31,448.60x = 47,173.37 × 8,074.52
  4. Step 4: Simplify right side
    31,448.60x = 380,902,103.85
  5. Step 5: Solve for x
    x = 380,902,103.85/31,448.60
  6. Step 6: Final answer
    x = 12,111.90

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