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Finding the Fourth Proportional to 26,540.64, 39,810.97 and 6,819.20

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Solution

The fourth proportional to 26,540.64, 39,810.97 and 6,819.20 is: 10,228.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,540.64 : 39,810.97 = 6,819.20 : x
  2. Step 2: Convert to fraction form
    26,540.64/39,810.97 = 6,819.20/x
  3. Step 3: Cross multiply
    26,540.64x = 39,810.97 × 6,819.20
  4. Step 4: Simplify right side
    26,540.64x = 271,478,833.00
  5. Step 5: Solve for x
    x = 271,478,833.00/26,540.64
  6. Step 6: Final answer
    x = 10,228.80

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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.