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Finding the Fourth Proportional to 27,646, 41,475.48 and 9,178

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Solution

The fourth proportional to 27,646, 41,475.48 and 9,178 is: 13,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646 : 41,475.48 = 9,178 : x
  2. Step 2: Convert to fraction form
    27,646/41,475.48 = 9,178/x
  3. Step 3: Cross multiply
    27,646x = 41,475.48 × 9,178
  4. Step 4: Simplify right side
    27,646x = 380,661,955.44
  5. Step 5: Solve for x
    x = 380,661,955.44/27,646
  6. Step 6: Final answer
    x = 13,769.15

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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.