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Finding the Fourth Proportional to 25,450, 38,175.72 and 6,982

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Solution

The fourth proportional to 25,450, 38,175.72 and 6,982 is: 10,473.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,450 : 38,175.72 = 6,982 : x
  2. Step 2: Convert to fraction form
    25,450/38,175.72 = 6,982/x
  3. Step 3: Cross multiply
    25,450x = 38,175.72 × 6,982
  4. Step 4: Simplify right side
    25,450x = 266,542,877.04
  5. Step 5: Solve for x
    x = 266,542,877.04/25,450
  6. Step 6: Final answer
    x = 10,473.20

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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.