Home / 7,747.76-11,618-2,813.92

Finding the Fourth Proportional to 7,747.76, 11,618 and 2,813.92

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Solution

The fourth proportional to 7,747.76, 11,618 and 2,813.92 is: 4,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.76 : 11,618 = 2,813.92 : x
  2. Step 2: Convert to fraction form
    7,747.76/11,618 = 2,813.92/x
  3. Step 3: Cross multiply
    7,747.76x = 11,618 × 2,813.92
  4. Step 4: Simplify right side
    7,747.76x = 32,692,122.56
  5. Step 5: Solve for x
    x = 32,692,122.56/7,747.76
  6. Step 6: Final answer
    x = 4,219.56

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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.