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Finding the Fourth Proportional to 6,782.86, 9,360.16 and 3,757.83

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Solution

The fourth proportional to 6,782.86, 9,360.16 and 3,757.83 is: 5,185.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.86 : 9,360.16 = 3,757.83 : x
  2. Step 2: Convert to fraction form
    6,782.86/9,360.16 = 3,757.83/x
  3. Step 3: Cross multiply
    6,782.86x = 9,360.16 × 3,757.83
  4. Step 4: Simplify right side
    6,782.86x = 35,173,890.05
  5. Step 5: Solve for x
    x = 35,173,890.05/6,782.86
  6. Step 6: Final answer
    x = 5,185.70

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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.