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Finding the Fourth Proportional to 27,242, 40,863 and 8,774

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Solution

The fourth proportional to 27,242, 40,863 and 8,774 is: 13,161

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,242 : 40,863 = 8,774 : x
  2. Step 2: Convert to fraction form
    27,242/40,863 = 8,774/x
  3. Step 3: Cross multiply
    27,242x = 40,863 × 8,774
  4. Step 4: Simplify right side
    27,242x = 358,531,962
  5. Step 5: Solve for x
    x = 358,531,962/27,242
  6. Step 6: Final answer
    x = 13,161

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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.