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Finding the Fourth Proportional to 11,470.11, 15,843.99 and 8,983.43

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Solution

The fourth proportional to 11,470.11, 15,843.99 and 8,983.43 is: 12,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.11 : 15,843.99 = 8,983.43 : x
  2. Step 2: Convert to fraction form
    11,470.11/15,843.99 = 8,983.43/x
  3. Step 3: Cross multiply
    11,470.11x = 15,843.99 × 8,983.43
  4. Step 4: Simplify right side
    11,470.11x = 142,333,292.21
  5. Step 5: Solve for x
    x = 142,333,292.21/11,470.11
  6. Step 6: Final answer
    x = 12,409.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.