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Finding the Fourth Proportional to 6,409.95, 9,618 and 3,488.26

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Solution

The fourth proportional to 6,409.95, 9,618 and 3,488.26 is: 5,234.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.95 : 9,618 = 3,488.26 : x
  2. Step 2: Convert to fraction form
    6,409.95/9,618 = 3,488.26/x
  3. Step 3: Cross multiply
    6,409.95x = 9,618 × 3,488.26
  4. Step 4: Simplify right side
    6,409.95x = 33,550,084.68
  5. Step 5: Solve for x
    x = 33,550,084.68/6,409.95
  6. Step 6: Final answer
    x = 5,234.06

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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.