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Finding the Fourth Proportional to 7,896.96, 11,853.36 and 6,978.48

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Solution

The fourth proportional to 7,896.96, 11,853.36 and 6,978.48 is: 10,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.96 : 11,853.36 = 6,978.48 : x
  2. Step 2: Convert to fraction form
    7,896.96/11,853.36 = 6,978.48/x
  3. Step 3: Cross multiply
    7,896.96x = 11,853.36 × 6,978.48
  4. Step 4: Simplify right side
    7,896.96x = 82,718,435.69
  5. Step 5: Solve for x
    x = 82,718,435.69/7,896.96
  6. Step 6: Final answer
    x = 10,474.72

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1.5x scale

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.