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Finding the Fourth Proportional to 6,123.40, 8,451.48 and 4,234.48

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Solution

The fourth proportional to 6,123.40, 8,451.48 and 4,234.48 is: 5,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.40 : 8,451.48 = 4,234.48 : x
  2. Step 2: Convert to fraction form
    6,123.40/8,451.48 = 4,234.48/x
  3. Step 3: Cross multiply
    6,123.40x = 8,451.48 × 4,234.48
  4. Step 4: Simplify right side
    6,123.40x = 35,787,623.03
  5. Step 5: Solve for x
    x = 35,787,623.03/6,123.40
  6. Step 6: Final answer
    x = 5,844.40

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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.