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Finding the Fourth Proportional to 25,473.80, 38,214.54 and 7,945

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Solution

The fourth proportional to 25,473.80, 38,214.54 and 7,945 is: 11,918.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,473.80 : 38,214.54 = 7,945 : x
  2. Step 2: Convert to fraction form
    25,473.80/38,214.54 = 7,945/x
  3. Step 3: Cross multiply
    25,473.80x = 38,214.54 × 7,945
  4. Step 4: Simplify right side
    25,473.80x = 303,614,520.30
  5. Step 5: Solve for x
    x = 303,614,520.30/25,473.80
  6. Step 6: Final answer
    x = 11,918.70

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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.