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Finding the Fourth Proportional to 6,164.15, 8,505.41 and 3,645

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Solution

The fourth proportional to 6,164.15, 8,505.41 and 3,645 is: 5,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.15 : 8,505.41 = 3,645 : x
  2. Step 2: Convert to fraction form
    6,164.15/8,505.41 = 3,645/x
  3. Step 3: Cross multiply
    6,164.15x = 8,505.41 × 3,645
  4. Step 4: Simplify right side
    6,164.15x = 31,002,219.45
  5. Step 5: Solve for x
    x = 31,002,219.45/6,164.15
  6. Step 6: Final answer
    x = 5,029.44

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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.