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Finding the Fourth Proportional to 27,687, 41,530.11 and 12,887.64

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Solution

The fourth proportional to 27,687, 41,530.11 and 12,887.64 is: 19,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,687 : 41,530.11 = 12,887.64 : x
  2. Step 2: Convert to fraction form
    27,687/41,530.11 = 12,887.64/x
  3. Step 3: Cross multiply
    27,687x = 41,530.11 × 12,887.64
  4. Step 4: Simplify right side
    27,687x = 535,225,106.84
  5. Step 5: Solve for x
    x = 535,225,106.84/27,687
  6. Step 6: Final answer
    x = 19,331.28

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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.