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Finding the Fourth Proportional to 27,641.34, 41,461.77 and 7,919.91

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Solution

The fourth proportional to 27,641.34, 41,461.77 and 7,919.91 is: 11,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.34 : 41,461.77 = 7,919.91 : x
  2. Step 2: Convert to fraction form
    27,641.34/41,461.77 = 7,919.91/x
  3. Step 3: Cross multiply
    27,641.34x = 41,461.77 × 7,919.91
  4. Step 4: Simplify right side
    27,641.34x = 328,373,486.84
  5. Step 5: Solve for x
    x = 328,373,486.84/27,641.34
  6. Step 6: Final answer
    x = 11,879.80

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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.