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Finding the Fourth Proportional to 6,520.32, 9,757.72 and 5,336.64

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Solution

The fourth proportional to 6,520.32, 9,757.72 and 5,336.64 is: 7,986.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.32 : 9,757.72 = 5,336.64 : x
  2. Step 2: Convert to fraction form
    6,520.32/9,757.72 = 5,336.64/x
  3. Step 3: Cross multiply
    6,520.32x = 9,757.72 × 5,336.64
  4. Step 4: Simplify right side
    6,520.32x = 52,073,438.86
  5. Step 5: Solve for x
    x = 52,073,438.86/6,520.32
  6. Step 6: Final answer
    x = 7,986.33

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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.