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Finding the Fourth Proportional to 6,397.82, 9,599.82 and 2,890.32

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Solution

The fourth proportional to 6,397.82, 9,599.82 and 2,890.32 is: 4,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.82 : 9,599.82 = 2,890.32 : x
  2. Step 2: Convert to fraction form
    6,397.82/9,599.82 = 2,890.32/x
  3. Step 3: Cross multiply
    6,397.82x = 9,599.82 × 2,890.32
  4. Step 4: Simplify right side
    6,397.82x = 27,746,504.90
  5. Step 5: Solve for x
    x = 27,746,504.90/6,397.82
  6. Step 6: Final answer
    x = 4,336.87

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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.