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Finding the Fourth Proportional to 27,090.70, 40,620.75 and 12,649.30

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Solution

The fourth proportional to 27,090.70, 40,620.75 and 12,649.30 is: 18,966.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,090.70 : 40,620.75 = 12,649.30 : x
  2. Step 2: Convert to fraction form
    27,090.70/40,620.75 = 12,649.30/x
  3. Step 3: Cross multiply
    27,090.70x = 40,620.75 × 12,649.30
  4. Step 4: Simplify right side
    27,090.70x = 513,824,052.98
  5. Step 5: Solve for x
    x = 513,824,052.98/27,090.70
  6. Step 6: Final answer
    x = 18,966.81

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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.