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Finding the Fourth Proportional to 25,690, 38,542.77 and 18,208.03

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Solution

The fourth proportional to 25,690, 38,542.77 and 18,208.03 is: 27,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,690 : 38,542.77 = 18,208.03 : x
  2. Step 2: Convert to fraction form
    25,690/38,542.77 = 18,208.03/x
  3. Step 3: Cross multiply
    25,690x = 38,542.77 × 18,208.03
  4. Step 4: Simplify right side
    25,690x = 701,787,912.44
  5. Step 5: Solve for x
    x = 701,787,912.44/25,690
  6. Step 6: Final answer
    x = 27,317.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.