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Finding the Fourth Proportional to 27,602.76, 41,405.76 and 7,879.80

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Solution

The fourth proportional to 27,602.76, 41,405.76 and 7,879.80 is: 11,820.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,602.76 : 41,405.76 = 7,879.80 : x
  2. Step 2: Convert to fraction form
    27,602.76/41,405.76 = 7,879.80/x
  3. Step 3: Cross multiply
    27,602.76x = 41,405.76 × 7,879.80
  4. Step 4: Simplify right side
    27,602.76x = 326,269,107.65
  5. Step 5: Solve for x
    x = 326,269,107.65/27,602.76
  6. Step 6: Final answer
    x = 11,820.16

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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.