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Finding the Fourth Proportional to 27,149.15, 40,723.75 and 7,427.87

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Solution

The fourth proportional to 27,149.15, 40,723.75 and 7,427.87 is: 11,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,149.15 : 40,723.75 = 7,427.87 : x
  2. Step 2: Convert to fraction form
    27,149.15/40,723.75 = 7,427.87/x
  3. Step 3: Cross multiply
    27,149.15x = 40,723.75 × 7,427.87
  4. Step 4: Simplify right side
    27,149.15x = 302,490,720.91
  5. Step 5: Solve for x
    x = 302,490,720.91/27,149.15
  6. Step 6: Final answer
    x = 11,141.81

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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.