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Finding the Fourth Proportional to 6,382.56, 8,808 and 3,588

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Solution

The fourth proportional to 6,382.56, 8,808 and 3,588 is: 4,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.56 : 8,808 = 3,588 : x
  2. Step 2: Convert to fraction form
    6,382.56/8,808 = 3,588/x
  3. Step 3: Cross multiply
    6,382.56x = 8,808 × 3,588
  4. Step 4: Simplify right side
    6,382.56x = 31,603,104
  5. Step 5: Solve for x
    x = 31,603,104/6,382.56
  6. Step 6: Final answer
    x = 4,951.48

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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.