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Finding the Fourth Proportional to 5,674.60, 7,814.82 and 4,100.20

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Solution

The fourth proportional to 5,674.60, 7,814.82 and 4,100.20 is: 5,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.60 : 7,814.82 = 4,100.20 : x
  2. Step 2: Convert to fraction form
    5,674.60/7,814.82 = 4,100.20/x
  3. Step 3: Cross multiply
    5,674.60x = 7,814.82 × 4,100.20
  4. Step 4: Simplify right side
    5,674.60x = 32,042,324.96
  5. Step 5: Solve for x
    x = 32,042,324.96/5,674.60
  6. Step 6: Final answer
    x = 5,646.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.