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Finding the Fourth Proportional to 9,770.94, 13,480.20 and 5,992.92

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Solution

The fourth proportional to 9,770.94, 13,480.20 and 5,992.92 is: 8,267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.94 : 13,480.20 = 5,992.92 : x
  2. Step 2: Convert to fraction form
    9,770.94/13,480.20 = 5,992.92/x
  3. Step 3: Cross multiply
    9,770.94x = 13,480.20 × 5,992.92
  4. Step 4: Simplify right side
    9,770.94x = 80,785,760.18
  5. Step 5: Solve for x
    x = 80,785,760.18/9,770.94
  6. Step 6: Final answer
    x = 8,267.96

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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.