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Finding the Fourth Proportional to 20,412, 30,618 and 6,561

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Solution

The fourth proportional to 20,412, 30,618 and 6,561 is: 9,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,412 : 30,618 = 6,561 : x
  2. Step 2: Convert to fraction form
    20,412/30,618 = 6,561/x
  3. Step 3: Cross multiply
    20,412x = 30,618 × 6,561
  4. Step 4: Simplify right side
    20,412x = 200,884,698
  5. Step 5: Solve for x
    x = 200,884,698/20,412
  6. Step 6: Final answer
    x = 9,841.50

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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.