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Finding the Fourth Proportional to 6,123.36, 8,450.42 and 3,470.69

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Solution

The fourth proportional to 6,123.36, 8,450.42 and 3,470.69 is: 4,789.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.36 : 8,450.42 = 3,470.69 : x
  2. Step 2: Convert to fraction form
    6,123.36/8,450.42 = 3,470.69/x
  3. Step 3: Cross multiply
    6,123.36x = 8,450.42 × 3,470.69
  4. Step 4: Simplify right side
    6,123.36x = 29,328,728.58
  5. Step 5: Solve for x
    x = 29,328,728.58/6,123.36
  6. Step 6: Final answer
    x = 4,789.65

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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.