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Finding the Fourth Proportional to 5,683, 7,842.72 and 3,199

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Solution

The fourth proportional to 5,683, 7,842.72 and 3,199 is: 4,414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683 : 7,842.72 = 3,199 : x
  2. Step 2: Convert to fraction form
    5,683/7,842.72 = 3,199/x
  3. Step 3: Cross multiply
    5,683x = 7,842.72 × 3,199
  4. Step 4: Simplify right side
    5,683x = 25,088,861.28
  5. Step 5: Solve for x
    x = 25,088,861.28/5,683
  6. Step 6: Final answer
    x = 4,414.72

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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.