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Finding the Fourth Proportional to 7,648, 11,473.92 and 2,176

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Solution

The fourth proportional to 7,648, 11,473.92 and 2,176 is: 3,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648 : 11,473.92 = 2,176 : x
  2. Step 2: Convert to fraction form
    7,648/11,473.92 = 2,176/x
  3. Step 3: Cross multiply
    7,648x = 11,473.92 × 2,176
  4. Step 4: Simplify right side
    7,648x = 24,967,249.92
  5. Step 5: Solve for x
    x = 24,967,249.92/7,648
  6. Step 6: Final answer
    x = 3,264.55

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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.