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Finding the Fourth Proportional to 27,190.76, 40,788.92 and 9,421.38

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Solution

The fourth proportional to 27,190.76, 40,788.92 and 9,421.38 is: 14,133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,190.76 : 40,788.92 = 9,421.38 : x
  2. Step 2: Convert to fraction form
    27,190.76/40,788.92 = 9,421.38/x
  3. Step 3: Cross multiply
    27,190.76x = 40,788.92 × 9,421.38
  4. Step 4: Simplify right side
    27,190.76x = 384,287,938.66
  5. Step 5: Solve for x
    x = 384,287,938.66/27,190.76
  6. Step 6: Final answer
    x = 14,133.04

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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.