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Finding the Fourth Proportional to 6,520.40, 9,757.22 and 5,645.92

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Solution

The fourth proportional to 6,520.40, 9,757.22 and 5,645.92 is: 8,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.40 : 9,757.22 = 5,645.92 : x
  2. Step 2: Convert to fraction form
    6,520.40/9,757.22 = 5,645.92/x
  3. Step 3: Cross multiply
    6,520.40x = 9,757.22 × 5,645.92
  4. Step 4: Simplify right side
    6,520.40x = 55,088,406.53
  5. Step 5: Solve for x
    x = 55,088,406.53/6,520.40
  6. Step 6: Final answer
    x = 8,448.63

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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.