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Finding the Fourth Proportional to 25,407, 38,112.66 and 6,939

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Solution

The fourth proportional to 25,407, 38,112.66 and 6,939 is: 10,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,407 : 38,112.66 = 6,939 : x
  2. Step 2: Convert to fraction form
    25,407/38,112.66 = 6,939/x
  3. Step 3: Cross multiply
    25,407x = 38,112.66 × 6,939
  4. Step 4: Simplify right side
    25,407x = 264,463,747.74
  5. Step 5: Solve for x
    x = 264,463,747.74/25,407
  6. Step 6: Final answer
    x = 10,409.09

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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.