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Finding the Fourth Proportional to 27,145.36, 40,719.48 and 7,421.48

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Solution

The fourth proportional to 27,145.36, 40,719.48 and 7,421.48 is: 11,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,145.36 : 40,719.48 = 7,421.48 : x
  2. Step 2: Convert to fraction form
    27,145.36/40,719.48 = 7,421.48/x
  3. Step 3: Cross multiply
    27,145.36x = 40,719.48 × 7,421.48
  4. Step 4: Simplify right side
    27,145.36x = 302,198,806.43
  5. Step 5: Solve for x
    x = 302,198,806.43/27,145.36
  6. Step 6: Final answer
    x = 11,132.61

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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.