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Finding the Fourth Proportional to 25,446.86, 38,175.83 and 7,918.10

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Solution

The fourth proportional to 25,446.86, 38,175.83 and 7,918.10 is: 11,878.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,446.86 : 38,175.83 = 7,918.10 : x
  2. Step 2: Convert to fraction form
    25,446.86/38,175.83 = 7,918.10/x
  3. Step 3: Cross multiply
    25,446.86x = 38,175.83 × 7,918.10
  4. Step 4: Simplify right side
    25,446.86x = 302,279,999.93
  5. Step 5: Solve for x
    x = 302,279,999.93/25,446.86
  6. Step 6: Final answer
    x = 11,878.87

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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.