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Finding the Fourth Proportional to 25,740, 38,610 and 7,272.48

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Solution

The fourth proportional to 25,740, 38,610 and 7,272.48 is: 10,908.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740 : 38,610 = 7,272.48 : x
  2. Step 2: Convert to fraction form
    25,740/38,610 = 7,272.48/x
  3. Step 3: Cross multiply
    25,740x = 38,610 × 7,272.48
  4. Step 4: Simplify right side
    25,740x = 280,790,452.80
  5. Step 5: Solve for x
    x = 280,790,452.80/25,740
  6. Step 6: Final answer
    x = 10,908.72

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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.