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Finding the Fourth Proportional to 5,545, 8,318.04 and 1,441

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Solution

The fourth proportional to 5,545, 8,318.04 and 1,441 is: 2,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,545 : 8,318.04 = 1,441 : x
  2. Step 2: Convert to fraction form
    5,545/8,318.04 = 1,441/x
  3. Step 3: Cross multiply
    5,545x = 8,318.04 × 1,441
  4. Step 4: Simplify right side
    5,545x = 11,986,295.64
  5. Step 5: Solve for x
    x = 11,986,295.64/5,545
  6. Step 6: Final answer
    x = 2,161.64

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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.