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Finding the Fourth Proportional to 27,478.82, 41,213.82 and 7,758.74

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Solution

The fourth proportional to 27,478.82, 41,213.82 and 7,758.74 is: 11,636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.82 : 41,213.82 = 7,758.74 : x
  2. Step 2: Convert to fraction form
    27,478.82/41,213.82 = 7,758.74/x
  3. Step 3: Cross multiply
    27,478.82x = 41,213.82 × 7,758.74
  4. Step 4: Simplify right side
    27,478.82x = 319,767,313.79
  5. Step 5: Solve for x
    x = 319,767,313.79/27,478.82
  6. Step 6: Final answer
    x = 11,636.86

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1.5x scale

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.