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Finding the Fourth Proportional to 18,454.86, 27,686.32 and 5,976.14

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Solution

The fourth proportional to 18,454.86, 27,686.32 and 5,976.14 is: 8,965.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,454.86 : 27,686.32 = 5,976.14 : x
  2. Step 2: Convert to fraction form
    18,454.86/27,686.32 = 5,976.14/x
  3. Step 3: Cross multiply
    18,454.86x = 27,686.32 × 5,976.14
  4. Step 4: Simplify right side
    18,454.86x = 165,457,171.03
  5. Step 5: Solve for x
    x = 165,457,171.03/18,454.86
  6. Step 6: Final answer
    x = 8,965.51

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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.