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Finding the Fourth Proportional to 27,238, 40,855.87 and 9,472.68

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Solution

The fourth proportional to 27,238, 40,855.87 and 9,472.68 is: 14,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,238 : 40,855.87 = 9,472.68 : x
  2. Step 2: Convert to fraction form
    27,238/40,855.87 = 9,472.68/x
  3. Step 3: Cross multiply
    27,238x = 40,855.87 × 9,472.68
  4. Step 4: Simplify right side
    27,238x = 387,014,582.63
  5. Step 5: Solve for x
    x = 387,014,582.63/27,238
  6. Step 6: Final answer
    x = 14,208.63

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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.