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Finding the Fourth Proportional to 6,366.92, 8,784.24 and 3,849.80

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Solution

The fourth proportional to 6,366.92, 8,784.24 and 3,849.80 is: 5,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.92 : 8,784.24 = 3,849.80 : x
  2. Step 2: Convert to fraction form
    6,366.92/8,784.24 = 3,849.80/x
  3. Step 3: Cross multiply
    6,366.92x = 8,784.24 × 3,849.80
  4. Step 4: Simplify right side
    6,366.92x = 33,817,567.15
  5. Step 5: Solve for x
    x = 33,817,567.15/6,366.92
  6. Step 6: Final answer
    x = 5,311.45

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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.