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Finding the Fourth Proportional to 25,419, 38,131.14 and 6,951

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Solution

The fourth proportional to 25,419, 38,131.14 and 6,951 is: 10,427.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,419 : 38,131.14 = 6,951 : x
  2. Step 2: Convert to fraction form
    25,419/38,131.14 = 6,951/x
  3. Step 3: Cross multiply
    25,419x = 38,131.14 × 6,951
  4. Step 4: Simplify right side
    25,419x = 265,049,554.14
  5. Step 5: Solve for x
    x = 265,049,554.14/25,419
  6. Step 6: Final answer
    x = 10,427.22

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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.