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Finding the Fourth Proportional to 5,541.67, 8,313.90 and 1,645.98

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Solution

The fourth proportional to 5,541.67, 8,313.90 and 1,645.98 is: 2,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.67 : 8,313.90 = 1,645.98 : x
  2. Step 2: Convert to fraction form
    5,541.67/8,313.90 = 1,645.98/x
  3. Step 3: Cross multiply
    5,541.67x = 8,313.90 × 1,645.98
  4. Step 4: Simplify right side
    5,541.67x = 13,684,513.12
  5. Step 5: Solve for x
    x = 13,684,513.12/5,541.67
  6. Step 6: Final answer
    x = 2,469.38

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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.