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Finding the Fourth Proportional to 27,190.40, 40,782.96 and 7,471.88

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Solution

The fourth proportional to 27,190.40, 40,782.96 and 7,471.88 is: 11,207.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190.40 : 40,782.96 = 7,471.88 : x
  2. Step 2: Convert to fraction form
    27,190.40/40,782.96 = 7,471.88/x
  3. Step 3: Cross multiply
    27,190.40x = 40,782.96 × 7,471.88
  4. Step 4: Simplify right side
    27,190.40x = 304,725,383.16
  5. Step 5: Solve for x
    x = 304,725,383.16/27,190.40
  6. Step 6: Final answer
    x = 11,207.09

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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.