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Finding the Fourth Proportional to 18,620.63, 27,931.80 and 6,141.75

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Solution

The fourth proportional to 18,620.63, 27,931.80 and 6,141.75 is: 9,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,620.63 : 27,931.80 = 6,141.75 : x
  2. Step 2: Convert to fraction form
    18,620.63/27,931.80 = 6,141.75/x
  3. Step 3: Cross multiply
    18,620.63x = 27,931.80 × 6,141.75
  4. Step 4: Simplify right side
    18,620.63x = 171,550,027.91
  5. Step 5: Solve for x
    x = 171,550,027.91/18,620.63
  6. Step 6: Final answer
    x = 9,212.90

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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.