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Finding the Fourth Proportional to 6,169.60, 8,513.94 and 3,811.06

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Solution

The fourth proportional to 6,169.60, 8,513.94 and 3,811.06 is: 5,259.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.60 : 8,513.94 = 3,811.06 : x
  2. Step 2: Convert to fraction form
    6,169.60/8,513.94 = 3,811.06/x
  3. Step 3: Cross multiply
    6,169.60x = 8,513.94 × 3,811.06
  4. Step 4: Simplify right side
    6,169.60x = 32,447,136.18
  5. Step 5: Solve for x
    x = 32,447,136.18/6,169.60
  6. Step 6: Final answer
    x = 5,259.20

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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.