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Finding the Fourth Proportional to 6,406.58, 9,614.72 and 4,321.64

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Solution

The fourth proportional to 6,406.58, 9,614.72 and 4,321.64 is: 6,485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.58 : 9,614.72 = 4,321.64 : x
  2. Step 2: Convert to fraction form
    6,406.58/9,614.72 = 4,321.64/x
  3. Step 3: Cross multiply
    6,406.58x = 9,614.72 × 4,321.64
  4. Step 4: Simplify right side
    6,406.58x = 41,551,321.27
  5. Step 5: Solve for x
    x = 41,551,321.27/6,406.58
  6. Step 6: Final answer
    x = 6,485.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.