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Finding the Fourth Proportional to 6,382.91, 8,809.23 and 3,865.02

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Solution

The fourth proportional to 6,382.91, 8,809.23 and 3,865.02 is: 5,334.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.91 : 8,809.23 = 3,865.02 : x
  2. Step 2: Convert to fraction form
    6,382.91/8,809.23 = 3,865.02/x
  3. Step 3: Cross multiply
    6,382.91x = 8,809.23 × 3,865.02
  4. Step 4: Simplify right side
    6,382.91x = 34,047,830.81
  5. Step 5: Solve for x
    x = 34,047,830.81/6,382.91
  6. Step 6: Final answer
    x = 5,334.22

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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.