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Finding the Fourth Proportional to 6,376.80, 8,802 and 3,724.32

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Solution

The fourth proportional to 6,376.80, 8,802 and 3,724.32 is: 5,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.80 : 8,802 = 3,724.32 : x
  2. Step 2: Convert to fraction form
    6,376.80/8,802 = 3,724.32/x
  3. Step 3: Cross multiply
    6,376.80x = 8,802 × 3,724.32
  4. Step 4: Simplify right side
    6,376.80x = 32,781,464.64
  5. Step 5: Solve for x
    x = 32,781,464.64/6,376.80
  6. Step 6: Final answer
    x = 5,140.74

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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.