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Finding the Fourth Proportional to 22,609.39, 33,918.95 and 7,618

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Solution

The fourth proportional to 22,609.39, 33,918.95 and 7,618 is: 11,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,609.39 : 33,918.95 = 7,618 : x
  2. Step 2: Convert to fraction form
    22,609.39/33,918.95 = 7,618/x
  3. Step 3: Cross multiply
    22,609.39x = 33,918.95 × 7,618
  4. Step 4: Simplify right side
    22,609.39x = 258,394,561.10
  5. Step 5: Solve for x
    x = 258,394,561.10/22,609.39
  6. Step 6: Final answer
    x = 11,428.64

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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.