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Finding the Fourth Proportional to 18,412.76, 27,619.14 and 4,561.76

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Solution

The fourth proportional to 18,412.76, 27,619.14 and 4,561.76 is: 6,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.76 : 27,619.14 = 4,561.76 : x
  2. Step 2: Convert to fraction form
    18,412.76/27,619.14 = 4,561.76/x
  3. Step 3: Cross multiply
    18,412.76x = 27,619.14 × 4,561.76
  4. Step 4: Simplify right side
    18,412.76x = 125,991,888.09
  5. Step 5: Solve for x
    x = 125,991,888.09/18,412.76
  6. Step 6: Final answer
    x = 6,842.64

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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.