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Finding the Fourth Proportional to 27,865.54, 41,813.88 and 21,638.08

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Solution

The fourth proportional to 27,865.54, 41,813.88 and 21,638.08 is: 32,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.54 : 41,813.88 = 21,638.08 : x
  2. Step 2: Convert to fraction form
    27,865.54/41,813.88 = 21,638.08/x
  3. Step 3: Cross multiply
    27,865.54x = 41,813.88 × 21,638.08
  4. Step 4: Simplify right side
    27,865.54x = 904,772,080.55
  5. Step 5: Solve for x
    x = 904,772,080.55/27,865.54
  6. Step 6: Final answer
    x = 32,469.21

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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.