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Finding the Fourth Proportional to 25,194, 37,791.36 and 8,778

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Solution

The fourth proportional to 25,194, 37,791.36 and 8,778 is: 13,167.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,194 : 37,791.36 = 8,778 : x
  2. Step 2: Convert to fraction form
    25,194/37,791.36 = 8,778/x
  3. Step 3: Cross multiply
    25,194x = 37,791.36 × 8,778
  4. Step 4: Simplify right side
    25,194x = 331,732,558.08
  5. Step 5: Solve for x
    x = 331,732,558.08/25,194
  6. Step 6: Final answer
    x = 13,167.13

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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.