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Finding the Fourth Proportional to 6,412, 9,618 and 2,308

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Solution

The fourth proportional to 6,412, 9,618 and 2,308 is: 3,462

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 9,618 = 2,308 : x
  2. Step 2: Convert to fraction form
    6,412/9,618 = 2,308/x
  3. Step 3: Cross multiply
    6,412x = 9,618 × 2,308
  4. Step 4: Simplify right side
    6,412x = 22,198,344
  5. Step 5: Solve for x
    x = 22,198,344/6,412
  6. Step 6: Final answer
    x = 3,462

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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.