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Finding the Fourth Proportional to 6,323.68, 8,731.26 and 4,086.82

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Solution

The fourth proportional to 6,323.68, 8,731.26 and 4,086.82 is: 5,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.68 : 8,731.26 = 4,086.82 : x
  2. Step 2: Convert to fraction form
    6,323.68/8,731.26 = 4,086.82/x
  3. Step 3: Cross multiply
    6,323.68x = 8,731.26 × 4,086.82
  4. Step 4: Simplify right side
    6,323.68x = 35,683,087.99
  5. Step 5: Solve for x
    x = 35,683,087.99/6,323.68
  6. Step 6: Final answer
    x = 5,642.77

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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.