Home / 25,827-38,704.14-20,538.56

Finding the Fourth Proportional to 25,827, 38,704.14 and 20,538.56

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Solution

The fourth proportional to 25,827, 38,704.14 and 20,538.56 is: 30,778.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827 : 38,704.14 = 20,538.56 : x
  2. Step 2: Convert to fraction form
    25,827/38,704.14 = 20,538.56/x
  3. Step 3: Cross multiply
    25,827x = 38,704.14 × 20,538.56
  4. Step 4: Simplify right side
    25,827x = 794,927,108.12
  5. Step 5: Solve for x
    x = 794,927,108.12/25,827
  6. Step 6: Final answer
    x = 30,778.92

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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.