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Finding the Fourth Proportional to 5,922.40, 8,172.96 and 3,404.68

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Solution

The fourth proportional to 5,922.40, 8,172.96 and 3,404.68 is: 4,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.40 : 8,172.96 = 3,404.68 : x
  2. Step 2: Convert to fraction form
    5,922.40/8,172.96 = 3,404.68/x
  3. Step 3: Cross multiply
    5,922.40x = 8,172.96 × 3,404.68
  4. Step 4: Simplify right side
    5,922.40x = 27,826,313.45
  5. Step 5: Solve for x
    x = 27,826,313.45/5,922.40
  6. Step 6: Final answer
    x = 4,698.49

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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.