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Finding the Fourth Proportional to 6,123.84, 8,453.77 and 3,605.14

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Solution

The fourth proportional to 6,123.84, 8,453.77 and 3,605.14 is: 4,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.84 : 8,453.77 = 3,605.14 : x
  2. Step 2: Convert to fraction form
    6,123.84/8,453.77 = 3,605.14/x
  3. Step 3: Cross multiply
    6,123.84x = 8,453.77 × 3,605.14
  4. Step 4: Simplify right side
    6,123.84x = 30,477,025.93
  5. Step 5: Solve for x
    x = 30,477,025.93/6,123.84
  6. Step 6: Final answer
    x = 4,976.79

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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.