Home / 7,743.98-11,618-3,845.46

Finding the Fourth Proportional to 7,743.98, 11,618 and 3,845.46

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Solution

The fourth proportional to 7,743.98, 11,618 and 3,845.46 is: 5,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.98 : 11,618 = 3,845.46 : x
  2. Step 2: Convert to fraction form
    7,743.98/11,618 = 3,845.46/x
  3. Step 3: Cross multiply
    7,743.98x = 11,618 × 3,845.46
  4. Step 4: Simplify right side
    7,743.98x = 44,676,554.28
  5. Step 5: Solve for x
    x = 44,676,554.28/7,743.98
  6. Step 6: Final answer
    x = 5,769.20

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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.