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Finding the Fourth Proportional to 31,279.40, 46,919.26 and 7,905.86

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Solution

The fourth proportional to 31,279.40, 46,919.26 and 7,905.86 is: 11,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,279.40 : 46,919.26 = 7,905.86 : x
  2. Step 2: Convert to fraction form
    31,279.40/46,919.26 = 7,905.86/x
  3. Step 3: Cross multiply
    31,279.40x = 46,919.26 × 7,905.86
  4. Step 4: Simplify right side
    31,279.40x = 370,937,100.86
  5. Step 5: Solve for x
    x = 370,937,100.86/31,279.40
  6. Step 6: Final answer
    x = 11,858.83

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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.