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Finding the Fourth Proportional to 6,409.08, 9,620.82 and 4,965.64

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Solution

The fourth proportional to 6,409.08, 9,620.82 and 4,965.64 is: 7,454.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.08 : 9,620.82 = 4,965.64 : x
  2. Step 2: Convert to fraction form
    6,409.08/9,620.82 = 4,965.64/x
  3. Step 3: Cross multiply
    6,409.08x = 9,620.82 × 4,965.64
  4. Step 4: Simplify right side
    6,409.08x = 47,773,528.62
  5. Step 5: Solve for x
    x = 47,773,528.62/6,409.08
  6. Step 6: Final answer
    x = 7,454.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.