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Finding the Fourth Proportional to 3,617.70, 5,438.70 and 3,083.10

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Solution

The fourth proportional to 3,617.70, 5,438.70 and 3,083.10 is: 4,635.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.70 : 5,438.70 = 3,083.10 : x
  2. Step 2: Convert to fraction form
    3,617.70/5,438.70 = 3,083.10/x
  3. Step 3: Cross multiply
    3,617.70x = 5,438.70 × 3,083.10
  4. Step 4: Simplify right side
    3,617.70x = 16,768,055.97
  5. Step 5: Solve for x
    x = 16,768,055.97/3,617.70
  6. Step 6: Final answer
    x = 4,635.00

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Why These Related Problems?

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