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Finding the Fourth Proportional to 31,274.53, 46,912.10 and 7,900.96

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Solution

The fourth proportional to 31,274.53, 46,912.10 and 7,900.96 is: 11,851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,274.53 : 46,912.10 = 7,900.96 : x
  2. Step 2: Convert to fraction form
    31,274.53/46,912.10 = 7,900.96/x
  3. Step 3: Cross multiply
    31,274.53x = 46,912.10 × 7,900.96
  4. Step 4: Simplify right side
    31,274.53x = 370,650,625.62
  5. Step 5: Solve for x
    x = 370,650,625.62/31,274.53
  6. Step 6: Final answer
    x = 11,851.52

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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.