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Finding the Fourth Proportional to 27,986.74, 41,980.20 and 11,347.10

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Solution

The fourth proportional to 27,986.74, 41,980.20 and 11,347.10 is: 17,020.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,986.74 : 41,980.20 = 11,347.10 : x
  2. Step 2: Convert to fraction form
    27,986.74/41,980.20 = 11,347.10/x
  3. Step 3: Cross multiply
    27,986.74x = 41,980.20 × 11,347.10
  4. Step 4: Simplify right side
    27,986.74x = 476,353,527.42
  5. Step 5: Solve for x
    x = 476,353,527.42/27,986.74
  6. Step 6: Final answer
    x = 17,020.69

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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.