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Finding the Fourth Proportional to 6,164.90, 8,505.78 and 3,807.80

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Solution

The fourth proportional to 6,164.90, 8,505.78 and 3,807.80 is: 5,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.90 : 8,505.78 = 3,807.80 : x
  2. Step 2: Convert to fraction form
    6,164.90/8,505.78 = 3,807.80/x
  3. Step 3: Cross multiply
    6,164.90x = 8,505.78 × 3,807.80
  4. Step 4: Simplify right side
    6,164.90x = 32,388,309.08
  5. Step 5: Solve for x
    x = 32,388,309.08/6,164.90
  6. Step 6: Final answer
    x = 5,253.66

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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.