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Finding the Fourth Proportional to 27,259.68, 40,890 and 8,791.68

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Solution

The fourth proportional to 27,259.68, 40,890 and 8,791.68 is: 13,187.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,259.68 : 40,890 = 8,791.68 : x
  2. Step 2: Convert to fraction form
    27,259.68/40,890 = 8,791.68/x
  3. Step 3: Cross multiply
    27,259.68x = 40,890 × 8,791.68
  4. Step 4: Simplify right side
    27,259.68x = 359,491,795.20
  5. Step 5: Solve for x
    x = 359,491,795.20/27,259.68
  6. Step 6: Final answer
    x = 13,187.67

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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.