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Finding the Fourth Proportional to 18,412.31, 27,618.47 and 4,561.31

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Solution

The fourth proportional to 18,412.31, 27,618.47 and 4,561.31 is: 6,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412.31 : 27,618.47 = 4,561.31 : x
  2. Step 2: Convert to fraction form
    18,412.31/27,618.47 = 4,561.31/x
  3. Step 3: Cross multiply
    18,412.31x = 27,618.47 × 4,561.31
  4. Step 4: Simplify right side
    18,412.31x = 125,976,466.74
  5. Step 5: Solve for x
    x = 125,976,466.74/18,412.31
  6. Step 6: Final answer
    x = 6,841.97

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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.