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Finding the Fourth Proportional to 25,538, 38,319.96 and 11,690.48

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Solution

The fourth proportional to 25,538, 38,319.96 and 11,690.48 is: 17,541.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538 : 38,319.96 = 11,690.48 : x
  2. Step 2: Convert to fraction form
    25,538/38,319.96 = 11,690.48/x
  3. Step 3: Cross multiply
    25,538x = 38,319.96 × 11,690.48
  4. Step 4: Simplify right side
    25,538x = 447,978,725.98
  5. Step 5: Solve for x
    x = 447,978,725.98/25,538
  6. Step 6: Final answer
    x = 17,541.65

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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.