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Finding the Fourth Proportional to 27,980.75, 41,971.13 and 9,512.75

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Solution

The fourth proportional to 27,980.75, 41,971.13 and 9,512.75 is: 14,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.75 : 41,971.13 = 9,512.75 : x
  2. Step 2: Convert to fraction form
    27,980.75/41,971.13 = 9,512.75/x
  3. Step 3: Cross multiply
    27,980.75x = 41,971.13 × 9,512.75
  4. Step 4: Simplify right side
    27,980.75x = 399,260,819.34
  5. Step 5: Solve for x
    x = 399,260,819.34/27,980.75
  6. Step 6: Final answer
    x = 14,269.13

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1.5x scale

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.