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Finding the Fourth Proportional to 3,400.46, 5,100.72 and 935.54

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Solution

The fourth proportional to 3,400.46, 5,100.72 and 935.54 is: 1,403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.46 : 5,100.72 = 935.54 : x
  2. Step 2: Convert to fraction form
    3,400.46/5,100.72 = 935.54/x
  3. Step 3: Cross multiply
    3,400.46x = 5,100.72 × 935.54
  4. Step 4: Simplify right side
    3,400.46x = 4,771,927.59
  5. Step 5: Solve for x
    x = 4,771,927.59/3,400.46
  6. Step 6: Final answer
    x = 1,403.32

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