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Finding the Fourth Proportional to 27,618, 41,433.60 and 9,150

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Solution

The fourth proportional to 27,618, 41,433.60 and 9,150 is: 13,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,618 : 41,433.60 = 9,150 : x
  2. Step 2: Convert to fraction form
    27,618/41,433.60 = 9,150/x
  3. Step 3: Cross multiply
    27,618x = 41,433.60 × 9,150
  4. Step 4: Simplify right side
    27,618x = 379,117,440
  5. Step 5: Solve for x
    x = 379,117,440/27,618
  6. Step 6: Final answer
    x = 13,727.19

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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.