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Finding the Fourth Proportional to 25,604.25, 38,406.41 and 7,136.25

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Solution

The fourth proportional to 25,604.25, 38,406.41 and 7,136.25 is: 10,704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604.25 : 38,406.41 = 7,136.25 : x
  2. Step 2: Convert to fraction form
    25,604.25/38,406.41 = 7,136.25/x
  3. Step 3: Cross multiply
    25,604.25x = 38,406.41 × 7,136.25
  4. Step 4: Simplify right side
    25,604.25x = 274,077,707.68
  5. Step 5: Solve for x
    x = 274,077,707.68/25,604.25
  6. Step 6: Final answer
    x = 10,704.38

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1.5x scale

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.