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Finding the Fourth Proportional to 25,862, 38,795.25 and 7,142.06

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Solution

The fourth proportional to 25,862, 38,795.25 and 7,142.06 is: 10,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,862 : 38,795.25 = 7,142.06 : x
  2. Step 2: Convert to fraction form
    25,862/38,795.25 = 7,142.06/x
  3. Step 3: Cross multiply
    25,862x = 38,795.25 × 7,142.06
  4. Step 4: Simplify right side
    25,862x = 277,078,003.22
  5. Step 5: Solve for x
    x = 277,078,003.22/25,862
  6. Step 6: Final answer
    x = 10,713.71

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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.