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Finding the Fourth Proportional to 27,980.88, 41,971.31 and 9,512.88

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Solution

The fourth proportional to 27,980.88, 41,971.31 and 9,512.88 is: 14,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.88 : 41,971.31 = 9,512.88 : x
  2. Step 2: Convert to fraction form
    27,980.88/41,971.31 = 9,512.88/x
  3. Step 3: Cross multiply
    27,980.88x = 41,971.31 × 9,512.88
  4. Step 4: Simplify right side
    27,980.88x = 399,268,035.47
  5. Step 5: Solve for x
    x = 399,268,035.47/27,980.88
  6. Step 6: Final answer
    x = 14,269.32

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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.