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Finding the Fourth Proportional to 31,255.38, 46,882.94 and 7,881.75

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Solution

The fourth proportional to 31,255.38, 46,882.94 and 7,881.75 is: 11,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,255.38 : 46,882.94 = 7,881.75 : x
  2. Step 2: Convert to fraction form
    31,255.38/46,882.94 = 7,881.75/x
  3. Step 3: Cross multiply
    31,255.38x = 46,882.94 × 7,881.75
  4. Step 4: Simplify right side
    31,255.38x = 369,519,572.94
  5. Step 5: Solve for x
    x = 369,519,572.94/31,255.38
  6. Step 6: Final answer
    x = 11,822.59

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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.