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Finding the Fourth Proportional to 5,541.48, 8,313.84 and 1,645.99

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Solution

The fourth proportional to 5,541.48, 8,313.84 and 1,645.99 is: 2,469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.48 : 8,313.84 = 1,645.99 : x
  2. Step 2: Convert to fraction form
    5,541.48/8,313.84 = 1,645.99/x
  3. Step 3: Cross multiply
    5,541.48x = 8,313.84 × 1,645.99
  4. Step 4: Simplify right side
    5,541.48x = 13,684,497.50
  5. Step 5: Solve for x
    x = 13,684,497.50/5,541.48
  6. Step 6: Final answer
    x = 2,469.47

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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.