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Finding the Fourth Proportional to 27,985.66, 41,988.21 and 12,414.22

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Solution

The fourth proportional to 27,985.66, 41,988.21 and 12,414.22 is: 18,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,985.66 : 41,988.21 = 12,414.22 : x
  2. Step 2: Convert to fraction form
    27,985.66/41,988.21 = 12,414.22/x
  3. Step 3: Cross multiply
    27,985.66x = 41,988.21 × 12,414.22
  4. Step 4: Simplify right side
    27,985.66x = 521,250,876.35
  5. Step 5: Solve for x
    x = 521,250,876.35/27,985.66
  6. Step 6: Final answer
    x = 18,625.64

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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.