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Finding the Fourth Proportional to 7,643.92, 11,456.08 and 6,163.84

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Solution

The fourth proportional to 7,643.92, 11,456.08 and 6,163.84 is: 9,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.92 : 11,456.08 = 6,163.84 : x
  2. Step 2: Convert to fraction form
    7,643.92/11,456.08 = 6,163.84/x
  3. Step 3: Cross multiply
    7,643.92x = 11,456.08 × 6,163.84
  4. Step 4: Simplify right side
    7,643.92x = 70,613,444.15
  5. Step 5: Solve for x
    x = 70,613,444.15/7,643.92
  6. Step 6: Final answer
    x = 9,237.86

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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.