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Finding the Fourth Proportional to 27,197.87, 40,798.78 and 11,387

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Solution

The fourth proportional to 27,197.87, 40,798.78 and 11,387 is: 17,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.87 : 40,798.78 = 11,387 : x
  2. Step 2: Convert to fraction form
    27,197.87/40,798.78 = 11,387/x
  3. Step 3: Cross multiply
    27,197.87x = 40,798.78 × 11,387
  4. Step 4: Simplify right side
    27,197.87x = 464,575,707.86
  5. Step 5: Solve for x
    x = 464,575,707.86/27,197.87
  6. Step 6: Final answer
    x = 17,081.33

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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.