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Finding the Fourth Proportional to 6,424.82, 8,867.74 and 4,182.80

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Solution

The fourth proportional to 6,424.82, 8,867.74 and 4,182.80 is: 5,773.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.82 : 8,867.74 = 4,182.80 : x
  2. Step 2: Convert to fraction form
    6,424.82/8,867.74 = 4,182.80/x
  3. Step 3: Cross multiply
    6,424.82x = 8,867.74 × 4,182.80
  4. Step 4: Simplify right side
    6,424.82x = 37,091,917.62
  5. Step 5: Solve for x
    x = 37,091,917.62/6,424.82
  6. Step 6: Final answer
    x = 5,773.22

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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.