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Finding the Fourth Proportional to 25,780.80, 38,683.60 and 12,626

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Solution

The fourth proportional to 25,780.80, 38,683.60 and 12,626 is: 18,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,780.80 : 38,683.60 = 12,626 : x
  2. Step 2: Convert to fraction form
    25,780.80/38,683.60 = 12,626/x
  3. Step 3: Cross multiply
    25,780.80x = 38,683.60 × 12,626
  4. Step 4: Simplify right side
    25,780.80x = 488,419,133.60
  5. Step 5: Solve for x
    x = 488,419,133.60/25,780.80
  6. Step 6: Final answer
    x = 18,945.07

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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.