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Finding the Fourth Proportional to 27,588, 41,385.78 and 12,801

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Solution

The fourth proportional to 27,588, 41,385.78 and 12,801 is: 19,203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,588 : 41,385.78 = 12,801 : x
  2. Step 2: Convert to fraction form
    27,588/41,385.78 = 12,801/x
  3. Step 3: Cross multiply
    27,588x = 41,385.78 × 12,801
  4. Step 4: Simplify right side
    27,588x = 529,779,369.78
  5. Step 5: Solve for x
    x = 529,779,369.78/27,588
  6. Step 6: Final answer
    x = 19,203.25

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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.