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Finding the Fourth Proportional to 39,782.16, 54,902.57 and 22,791.99

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Solution

The fourth proportional to 39,782.16, 54,902.57 and 22,791.99 is: 31,454.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.16 : 54,902.57 = 22,791.99 : x
  2. Step 2: Convert to fraction form
    39,782.16/54,902.57 = 22,791.99/x
  3. Step 3: Cross multiply
    39,782.16x = 54,902.57 × 22,791.99
  4. Step 4: Simplify right side
    39,782.16x = 1,251,338,826.41
  5. Step 5: Solve for x
    x = 1,251,338,826.41/39,782.16
  6. Step 6: Final answer
    x = 31,454.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.