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Finding the Fourth Proportional to 39,690, 54,772.20 and 22,923

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Solution

The fourth proportional to 39,690, 54,772.20 and 22,923 is: 31,633.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,690 : 54,772.20 = 22,923 : x
  2. Step 2: Convert to fraction form
    39,690/54,772.20 = 22,923/x
  3. Step 3: Cross multiply
    39,690x = 54,772.20 × 22,923
  4. Step 4: Simplify right side
    39,690x = 1,255,543,140.60
  5. Step 5: Solve for x
    x = 1,255,543,140.60/39,690
  6. Step 6: Final answer
    x = 31,633.74

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Why These Related Problems?

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