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Finding the Fourth Proportional to 25,051.56, 37,578.56 and 20,661

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Solution

The fourth proportional to 25,051.56, 37,578.56 and 20,661 is: 30,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,051.56 : 37,578.56 = 20,661 : x
  2. Step 2: Convert to fraction form
    25,051.56/37,578.56 = 20,661/x
  3. Step 3: Cross multiply
    25,051.56x = 37,578.56 × 20,661
  4. Step 4: Simplify right side
    25,051.56x = 776,410,524.86
  5. Step 5: Solve for x
    x = 776,410,524.86/25,051.56
  6. Step 6: Final answer
    x = 30,992.50

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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.