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Finding the Fourth Proportional to 4,909.92, 6,777.12 and 3,922.08

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Solution

The fourth proportional to 4,909.92, 6,777.12 and 3,922.08 is: 5,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.92 : 6,777.12 = 3,922.08 : x
  2. Step 2: Convert to fraction form
    4,909.92/6,777.12 = 3,922.08/x
  3. Step 3: Cross multiply
    4,909.92x = 6,777.12 × 3,922.08
  4. Step 4: Simplify right side
    4,909.92x = 26,580,406.81
  5. Step 5: Solve for x
    x = 26,580,406.81/4,909.92
  6. Step 6: Final answer
    x = 5,413.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.