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Finding the Fourth Proportional to 6,405, 8,832.81 and 4,164.31

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Solution

The fourth proportional to 6,405, 8,832.81 and 4,164.31 is: 5,742.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405 : 8,832.81 = 4,164.31 : x
  2. Step 2: Convert to fraction form
    6,405/8,832.81 = 4,164.31/x
  3. Step 3: Cross multiply
    6,405x = 8,832.81 × 4,164.31
  4. Step 4: Simplify right side
    6,405x = 36,782,559.01
  5. Step 5: Solve for x
    x = 36,782,559.01/6,405
  6. Step 6: Final answer
    x = 5,742.79

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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.