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Finding the Fourth Proportional to 6,782.35, 9,355.74 and 4,891.81

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Solution

The fourth proportional to 6,782.35, 9,355.74 and 4,891.81 is: 6,747.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.35 : 9,355.74 = 4,891.81 : x
  2. Step 2: Convert to fraction form
    6,782.35/9,355.74 = 4,891.81/x
  3. Step 3: Cross multiply
    6,782.35x = 9,355.74 × 4,891.81
  4. Step 4: Simplify right side
    6,782.35x = 45,766,502.49
  5. Step 5: Solve for x
    x = 45,766,502.49/6,782.35
  6. Step 6: Final answer
    x = 6,747.88

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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.